Greatest Common Factor of 7856/161, 6736/4762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7856/161, 6736/4762

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 7856/161,6736/4762

Given fractions are 7856/161,6736/4762

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 7856,6736

Greatest Common Factor of Numerators i.e. GCF of 7856,6736 is 16 .

LCM of Denominators means LCM of 161,4762 as per the given fractions.

LCM of 161,4762 is 766682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7856,6736

GCF of Fractions 7856/161,6736/4762 is 16/766682

2 7856, 6736
2 3928, 3368
2 1964, 1684
2 982, 842
491, 421

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 7856,6736 By Matching Biggest Common Factor Method

Greatest Common Factor of 7856,6736 By Matching Biggest Common Factor Method

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1,2,4,8,16,491,982,1964,3928,7856

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1,2,4,8,16,421,842,1684,3368,6736

Greatest Common Factor

We found the factors 7856,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 7856,6736 is 16.

Lets's calculate LCM of 161,4762

Given numbers has no common factors except 1. So, there LCM is their product i.e 766682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/766682

Therefore, the GCF of Fractions 7856/161,6736/4762 is 16/766682

Least Common Multiple of 161,4762 with GCF Formula

Least Common Multiple of 161,4762 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 161,4762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,4762) = 1

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

GCF(161,4762) x common factors =1 x 1 = 1

LCM(161,4762) = ( 161 × 4762 ) / 1

LCM(161,4762) = 766682 / 1

LCM(161,4762) = 766682


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 7856/161, 6736/4762

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 7856/161, 6736/4762?

Answer: GCF of Numerators as per given numbers 7856/161, 6736/4762 is

GCF of Numerators i.e. for 7856,6736 is 16

LCM of denominators i.e. for 161,4762 is 766682.

Thus, GCF of Fractions is 16/766682.Finally, GCF of Fractions for 7856/161, 6736/4762 is 16/766682.