343/8 Simplified

What is 343/8 Simplified?

Answer: Fraction 343/8 simplified to lowest terms is 343/8
343
/
8

The fraction 343/8 is already in the simplest form, so it isn't possible to reduce it any further - numerator 343 and denominator 8 have no common factors other than 1 (one)

Since the numerator [343] is greater than the denominator [8] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

343
/
8
=42
7
/
8

Simplifying Fraction 343/8 using GCF

The first way to simplify the fraction 343/8 is to use the Greatest Common Factor (GCF) of our numerator [343] and denominator [8].

GCF of 343 and 8 is 1

And then divide both the numerator [343] and denominator [8] by the GCF [1].

343 ÷ 1
/
8 ÷ 1
=
343
/
8

Simplifying Fraction 343/8 using Prime Factors

Another method to reduce the fraction 343/8 to its simplest form is to use the Prime Factors of numerator [343] and denominator [8].

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

7 × 7 × 7
/
2 × 2 × 2
=
343
/
8

Simplifying Fraction 343/8 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [343] and denominator [8] 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 (343/8) there is no possible numbers to divide our numerator and denominator.

See Also

Fraction Simplification Table

FractionLowest Terms
343/1343/1
343/2343/2
343/3343/3
343/4343/4
343/5343/5
343/6343/6
343/749/1
343/8
343/9343/9
343/10343/10
343/11343/11
343/12343/12
343/13343/13
343/14
343/15343/15
343/16343/16
343/17343/17
343/18343/18
343/19343/19
343/20343/20
343/2149/3
343/22343/22
343/23343/23
343/24343/24
343/25343/25
343/26343/26
343/27
343/2849/4
343/29343/29
343/30343/30

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 343/8 Simplified? (The answer is: 343/8). Enter the fraction (numerator and denominator) (e.g. '343/8') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 343/8) 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).

FAQ

What is 343/8 Simplified?

Fraction 343/8 simplified to lowest terms is 343/8