Greatest Common Factor of 8568/132, 3764/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8568/132, 3764/701

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 8568/132,3764/701

Given fractions are 8568/132,3764/701

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 8568,3764

Greatest Common Factor of Numerators i.e. GCF of 8568,3764 is 4 .

LCM of Denominators means LCM of 132,701 as per the given fractions.

LCM of 132,701 is 92532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8568,3764

GCF of Fractions 8568/132,3764/701 is 4/92532

2 8568, 3764
2 4284, 1882
2142, 941

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

Greatest Common Factor of 8568,3764 By Matching Biggest Common Factor Method

Greatest Common Factor of 8568,3764 By Matching Biggest Common Factor Method

Factors of 8568

List of positive integer factors of 8568 that divides 8568 without a remainder.

1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568

Factors of 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1,2,4,941,1882,3764

Greatest Common Factor

We found the factors 8568,3764 . The biggest common factor number is the GCF number.
So the greatest common factor 8568,3764 is 4.

Lets's calculate LCM of 132,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 92532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/92532

Therefore, the GCF of Fractions 8568/132,3764/701 is 4/92532

Least Common Multiple of 132,701 with GCF Formula

Least Common Multiple of 132,701 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 132,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,701) = 1

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

GCF(132,701) x common factors =1 x 1 = 1

LCM(132,701) = ( 132 × 701 ) / 1

LCM(132,701) = 92532 / 1

LCM(132,701) = 92532


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 8568/132, 3764/701

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 8568/132, 3764/701?

Answer: GCF of Numerators as per given numbers 8568/132, 3764/701 is

GCF of Numerators i.e. for 8568,3764 is 4

LCM of denominators i.e. for 132,701 is 92532.

Thus, GCF of Fractions is 4/92532.Finally, GCF of Fractions for 8568/132, 3764/701 is 4/92532.