420/357 Simplified

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What is 420/357 Simplified?

Answer

Fraction 420/357 simplified to lowest terms is 20/17
420
357
=
20
17

20/17 is the simplified fraction of 420/357.

Since the numerator [420] is greater than the denominator [357] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

20
17
= 1
3
17

Simplifying Fraction 420/357 using GCF

The first way to simplify the fraction 420/357 is to use the Greatest Common Factor (GCF) of our numerator [420] and denominator [357].

GCF of 420 and 357 is 21

And then divide both the numerator [420] and denominator [357] by the GCF [21].

420 ÷ 21
357 ÷ 21
=
20
17

Simplifying Fraction 420/357 using Prime Factors

Another method to reduce the fraction 420/357 to its simplest form is to use the Prime Factors of numerator [420] and denominator [357].

Prime Factors of 420: 2,2,3,5,7

Prime Factors of 357: 3,7,17

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 3 × 5 × 7
3 × 7 × 17
=
20
17

Simplifying Fraction 420/357 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [420] and denominator [357] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

420 ÷ 3
357 ÷ 3
=
140
119
140 ÷ 7
119 ÷ 7
=
20
17

See Also

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 420/357 Simplified? (The answer is: 20/17). Enter the fraction (numerator and denominator) (e.g. '420/357') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 420/357) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

Fraction Simplifier Calculator

Simplify the Fraction

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Fraction Simplification Table

Fraction Lowest Terms
420/342 70/57
420/343 60/49
420/344 105/86
420/345 28/23
420/346 210/173
420/347 420/347
420/348 35/29
420/349 420/349
420/350 6/5
420/351 140/117
420/352 105/88
420/353 420/353
420/354 70/59
420/355 84/71
420/356 105/89
420/357 20/17
420/358 210/179
420/359 420/359
420/360 7/6
420/361 420/361
420/362 210/181
420/363 140/121
420/364 15/13
420/365 84/73
420/366 70/61
420/367 420/367
420/368 105/92
420/369 140/123
420/370 42/37
420/371 60/53

FAQ

What is 420/357 Simplified?
Fraction 420/357 simplified to lowest terms is 20/17

How do you simplify 420/357?
420/357 simplified to lowest terms is 20/17. Divide both the numerator and denominator by their GCF (21).

What is the GCF of 420 and 357?
The Greatest Common Factor of 420 and 357 is 21.

See Also