Greatest Common Factor of 7652/14, 3264/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7652/14, 3264/753

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 7652/14,3264/753

Given fractions are 7652/14,3264/753

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 7652,3264

Greatest Common Factor of Numerators i.e. GCF of 7652,3264 is 4 .

LCM of Denominators means LCM of 14,753 as per the given fractions.

LCM of 14,753 is 10542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7652,3264

GCF of Fractions 7652/14,3264/753 is 4/10542

2 7652, 3264
2 3826, 1632
1913, 816

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

Greatest Common Factor of 7652,3264 By Matching Biggest Common Factor Method

Greatest Common Factor of 7652,3264 By Matching Biggest Common Factor Method

Factors of 7652

List of positive integer factors of 7652 that divides 7652 without a remainder.

1,2,4,1913,3826,7652

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264

Greatest Common Factor

We found the factors 7652,3264 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,3264 is 4.

Lets's calculate LCM of 14,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 10542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10542

Therefore, the GCF of Fractions 7652/14,3264/753 is 4/10542

Least Common Multiple of 14,753 with GCF Formula

Least Common Multiple of 14,753 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 14,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,753) = 1

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

GCF(14,753) x common factors =1 x 1 = 1

LCM(14,753) = ( 14 × 753 ) / 1

LCM(14,753) = 10542 / 1

LCM(14,753) = 10542


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 7652/14, 3264/753

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 7652/14, 3264/753?

Answer: GCF of Numerators as per given numbers 7652/14, 3264/753 is

GCF of Numerators i.e. for 7652,3264 is 4

LCM of denominators i.e. for 14,753 is 10542.

Thus, GCF of Fractions is 4/10542.Finally, GCF of Fractions for 7652/14, 3264/753 is 4/10542.