Greatest Common Factor of 7152/64, 4753/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7152/64, 4753/821

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 7152/64,4753/821

Given fractions are 7152/64,4753/821

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 7152,4753

Greatest Common Factor of Numerators i.e. GCF of 7152,4753 is 1 .

LCM of Denominators means LCM of 64,821 as per the given fractions.

LCM of 64,821 is 52544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7152,4753

GCF of Fractions 7152/64,4753/821 is 1/52544

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

Greatest Common Factor of 7152,4753 By Matching Biggest Common Factor Method

Greatest Common Factor of 7152,4753 By Matching Biggest Common Factor Method

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Factors of 4753

List of positive integer factors of 4753 that divides 4753 without a remainder.

1,7,49,97,679,4753

Greatest Common Factor

We found the factors 7152,4753 . The biggest common factor number is the GCF number.
So the greatest common factor 7152,4753 is 1.

Lets's calculate LCM of 64,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 52544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52544

Therefore, the GCF of Fractions 7152/64,4753/821 is 1/52544

Least Common Multiple of 64,821 with GCF Formula

Least Common Multiple of 64,821 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 64,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,821) = 1

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

GCF(64,821) x common factors =1 x 1 = 1

LCM(64,821) = ( 64 × 821 ) / 1

LCM(64,821) = 52544 / 1

LCM(64,821) = 52544


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 7152/64, 4753/821

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 7152/64, 4753/821?

Answer: GCF of Numerators as per given numbers 7152/64, 4753/821 is

GCF of Numerators i.e. for 7152,4753 is 1

LCM of denominators i.e. for 64,821 is 52544.

Thus, GCF of Fractions is 1/52544.Finally, GCF of Fractions for 7152/64, 4753/821 is 1/52544.