What is 1000/343 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 1000/343 Simplified?

Answer: Fraction 1000/343 simplified to lowest terms is 1000/343

1000

/

343

The fraction 1000/343 is already in the simplest form, so it isn't possible to reduce it any further - numerator 1000 and denominator 343 have no common factors other than 1 (one)

Since the numerator [1000] is greater than the denominator [343] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

1000

/

343

=2

314

/

343

Simplifying Fraction 1000/343 using GCF

The first way to simplify the fraction 1000/343 is to use the Greatest Common Factor (GCF) of our numerator [1000] and denominator [343].

GCF of 1000 and 343 is 1

And then divide both the numerator [1000] and denominator [343] by the GCF [1].

1000 ÷ 1

/

343 ÷ 1

=

1000

/

343

Simplifying Fraction 1000/343 using Prime Factors

Another method to reduce the fraction 1000/343 to its simplest form is to use the Prime Factors of numerator [1000] and denominator [343].

Prime Factors of 1000: 2,2,2,5,5,5

Prime Factors of 343: 7,7,7

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

2 × 2 × 2 × 5 × 5 × 5

/

7 × 7 × 7

=

1000

/

343

Simplifying Fraction 1000/343 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [1000] and denominator [343] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

In our case (1000/343) there is no possible numbers to divide our numerator and denominator.

Fraction Simplification Table

Fraction	Lowest Terms
1000/328	125/41
1000/329	1000/329
1000/330	100/33
1000/331	1000/331
1000/332	250/83
1000/333	1000/333
1000/334	500/167
1000/335	200/67
1000/336	125/42
1000/337	1000/337
1000/338	500/169
1000/339	1000/339
1000/340	50/17
1000/341	1000/341
1000/342	500/171
1000/343	1000/343
1000/344	125/43
1000/345	200/69
1000/346	500/173
1000/347	1000/347
1000/348	250/87
1000/349	1000/349
1000/350	20/7
1000/351	1000/351
1000/352	125/44
1000/353	1000/353
1000/354	500/177
1000/355	200/71
1000/356	250/89
1000/357	1000/357

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 1000/343 Simplified? (The answer is: 1000/343). Enter the fraction (numerator and denominator) (e.g. '1000/343') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 1000/343) 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).

1000/343 Simplified