Greatest Common Factor of 7610/402, 4071/7784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7610/402, 4071/7784

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 7610/402,4071/7784

Given fractions are 7610/402,4071/7784

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 7610,4071

Greatest Common Factor of Numerators i.e. GCF of 7610,4071 is 1 .

LCM of Denominators means LCM of 402,7784 as per the given fractions.

LCM of 402,7784 is 1564584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7610,4071

GCF of Fractions 7610/402,4071/7784 is 1/1564584

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

Greatest Common Factor of 7610,4071 By Matching Biggest Common Factor Method

Greatest Common Factor of 7610,4071 By Matching Biggest Common Factor Method

Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1,2,5,10,761,1522,3805,7610

Factors of 4071

List of positive integer factors of 4071 that divides 4071 without a remainder.

1,3,23,59,69,177,1357,4071

Greatest Common Factor

We found the factors 7610,4071 . The biggest common factor number is the GCF number.
So the greatest common factor 7610,4071 is 1.

Lets's calculate LCM of 402,7784

2 402, 7784
201, 3892

∴ So the LCM of the given numbers is 2 x 201 x 3892 = 1564584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1564584

Therefore, the GCF of Fractions 7610/402,4071/7784 is 1/1564584

Least Common Multiple of 402,7784 with GCF Formula

Least Common Multiple of 402,7784 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 402,7784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,7784) = 2

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

GCF(402,7784) x common factors =2 x 1 = 2

LCM(402,7784) = ( 402 × 7784 ) / 2

LCM(402,7784) = 3129168 / 2

LCM(402,7784) = 1564584


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 7610/402, 4071/7784

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 7610/402, 4071/7784?

Answer: GCF of Numerators as per given numbers 7610/402, 4071/7784 is

GCF of Numerators i.e. for 7610,4071 is 1

LCM of denominators i.e. for 402,7784 is 1564584.

Thus, GCF of Fractions is 1/1564584.Finally, GCF of Fractions for 7610/402, 4071/7784 is 1/1564584.