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 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).

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

FAQ

What is 343/8 Simplified?

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