Greatest Common Factor of 3852/57, 7772/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3852/57, 7772/342

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 3852/57,7772/342

Given fractions are 3852/57,7772/342

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 3852,7772

Greatest Common Factor of Numerators i.e. GCF of 3852,7772 is 4 .

LCM of Denominators means LCM of 57,342 as per the given fractions.

LCM of 57,342 is 342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3852,7772

GCF of Fractions 3852/57,7772/342 is 4/342

2 3852, 7772
2 1926, 3886
963, 1943

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

Greatest Common Factor of 3852,7772 By Matching Biggest Common Factor Method

Greatest Common Factor of 3852,7772 By Matching Biggest Common Factor Method

Factors of 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852

Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1,2,4,29,58,67,116,134,268,1943,3886,7772

Greatest Common Factor

We found the factors 3852,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 3852,7772 is 4.

Lets's calculate LCM of 57,342

3 57, 342
19 19, 114
1, 6

∴ So the LCM of the given numbers is 3 x 19 x 1 x 6 = 342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/342

Therefore, the GCF of Fractions 3852/57,7772/342 is 4/342

Least Common Multiple of 57,342 with GCF Formula

Least Common Multiple of 57,342 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 57,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,342) = 57

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

GCF(57,342) x common factors =57 x 1 = 57

LCM(57,342) = ( 57 × 342 ) / 57

LCM(57,342) = 19494 / 57

LCM(57,342) = 342


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 3852/57, 7772/342

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 3852/57, 7772/342?

Answer: GCF of Numerators as per given numbers 3852/57, 7772/342 is

GCF of Numerators i.e. for 3852,7772 is 4

LCM of denominators i.e. for 57,342 is 342.

Thus, GCF of Fractions is 4/342.Finally, GCF of Fractions for 3852/57, 7772/342 is 4/342.