Greatest Common Factor of 796/343, 907/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/343, 907/847

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 796/343,907/847

Given fractions are 796/343,907/847

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 796,907

Greatest Common Factor of Numerators i.e. GCF of 796,907 is 1 .

LCM of Denominators means LCM of 343,847 as per the given fractions.

LCM of 343,847 is 41503 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,907

GCF of Fractions 796/343,907/847 is 1/41503

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 796,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,907 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 796,907 . The biggest common factor number is the GCF number.
So the greatest common factor 796,907 is 1.

Lets's calculate LCM of 343,847

7 343, 847
49, 121

∴ So the LCM of the given numbers is 7 x 49 x 121 = 41503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41503

Therefore, the GCF of Fractions 796/343,907/847 is 1/41503

Least Common Multiple of 343,847 with GCF Formula

Least Common Multiple of 343,847 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 343,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,847) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(343,847) x common factors =7 x 1 = 7

LCM(343,847) = ( 343 × 847 ) / 7

LCM(343,847) = 290521 / 7

LCM(343,847) = 41503


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 796/343, 907/847

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 796/343, 907/847?

Answer: GCF of Numerators as per given numbers 796/343, 907/847 is

GCF of Numerators i.e. for 796,907 is 1

LCM of denominators i.e. for 343,847 is 41503.

Thus, GCF of Fractions is 1/41503.Finally, GCF of Fractions for 796/343, 907/847 is 1/41503.