Greatest Common Factor of 7376/761, 7316/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7376/761, 7316/826

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 7376/761,7316/826

Given fractions are 7376/761,7316/826

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 7376,7316

Greatest Common Factor of Numerators i.e. GCF of 7376,7316 is 4 .

LCM of Denominators means LCM of 761,826 as per the given fractions.

LCM of 761,826 is 628586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7376,7316

GCF of Fractions 7376/761,7316/826 is 4/628586

2 7376, 7316
2 3688, 3658
1844, 1829

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7376,7316 By Matching Biggest Common Factor Method

Greatest Common Factor of 7376,7316 By Matching Biggest Common Factor Method

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1,2,4,8,16,461,922,1844,3688,7376

Factors of 7316

List of positive integer factors of 7316 that divides 7316 without a remainder.

1,2,4,31,59,62,118,124,236,1829,3658,7316

Greatest Common Factor

We found the factors 7376,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 7376,7316 is 4.

Lets's calculate LCM of 761,826

Given numbers has no common factors except 1. So, there LCM is their product i.e 628586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/628586

Therefore, the GCF of Fractions 7376/761,7316/826 is 4/628586

Least Common Multiple of 761,826 with GCF Formula

Least Common Multiple of 761,826 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 761,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,826) = 1

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

GCF(761,826) x common factors =1 x 1 = 1

LCM(761,826) = ( 761 × 826 ) / 1

LCM(761,826) = 628586 / 1

LCM(761,826) = 628586


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 7376/761, 7316/826

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 7376/761, 7316/826?

Answer: GCF of Numerators as per given numbers 7376/761, 7316/826 is

GCF of Numerators i.e. for 7376,7316 is 4

LCM of denominators i.e. for 761,826 is 628586.

Thus, GCF of Fractions is 4/628586.Finally, GCF of Fractions for 7376/761, 7316/826 is 4/628586.