Greatest Common Factor of 7742/61, 6752/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7742/61, 6752/476

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 7742/61,6752/476

Given fractions are 7742/61,6752/476

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 7742,6752

Greatest Common Factor of Numerators i.e. GCF of 7742,6752 is 2 .

LCM of Denominators means LCM of 61,476 as per the given fractions.

LCM of 61,476 is 29036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7742,6752

GCF of Fractions 7742/61,6752/476 is 2/29036

2 7742, 6752
3871, 3376

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

Greatest Common Factor of 7742,6752 By Matching Biggest Common Factor Method

Greatest Common Factor of 7742,6752 By Matching Biggest Common Factor Method

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1,2,4,8,16,32,211,422,844,1688,3376,6752

Greatest Common Factor

We found the factors 7742,6752 . The biggest common factor number is the GCF number.
So the greatest common factor 7742,6752 is 2.

Lets's calculate LCM of 61,476

Given numbers has no common factors except 1. So, there LCM is their product i.e 29036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29036

Therefore, the GCF of Fractions 7742/61,6752/476 is 2/29036

Least Common Multiple of 61,476 with GCF Formula

Least Common Multiple of 61,476 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 61,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,476) = 1

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

GCF(61,476) x common factors =1 x 1 = 1

LCM(61,476) = ( 61 × 476 ) / 1

LCM(61,476) = 29036 / 1

LCM(61,476) = 29036


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 7742/61, 6752/476

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 7742/61, 6752/476?

Answer: GCF of Numerators as per given numbers 7742/61, 6752/476 is

GCF of Numerators i.e. for 7742,6752 is 2

LCM of denominators i.e. for 61,476 is 29036.

Thus, GCF of Fractions is 2/29036.Finally, GCF of Fractions for 7742/61, 6752/476 is 2/29036.