Greatest Common Factor of 4592/749, 9132/9896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4592/749, 9132/9896

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 4592/749,9132/9896

Given fractions are 4592/749,9132/9896

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 4592,9132

Greatest Common Factor of Numerators i.e. GCF of 4592,9132 is 4 .

LCM of Denominators means LCM of 749,9896 as per the given fractions.

LCM of 749,9896 is 7412104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4592,9132

GCF of Fractions 4592/749,9132/9896 is 4/7412104

2 4592, 9132
2 2296, 4566
1148, 2283

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

Greatest Common Factor of 4592,9132 By Matching Biggest Common Factor Method

Greatest Common Factor of 4592,9132 By Matching Biggest Common Factor Method

Factors of 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592

Factors of 9132

List of positive integer factors of 9132 that divides 9132 without a remainder.

1,2,3,4,6,12,761,1522,2283,3044,4566,9132

Greatest Common Factor

We found the factors 4592,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 4592,9132 is 4.

Lets's calculate LCM of 749,9896

Given numbers has no common factors except 1. So, there LCM is their product i.e 7412104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7412104

Therefore, the GCF of Fractions 4592/749,9132/9896 is 4/7412104

Least Common Multiple of 749,9896 with GCF Formula

Least Common Multiple of 749,9896 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 749,9896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,9896) = 1

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

GCF(749,9896) x common factors =1 x 1 = 1

LCM(749,9896) = ( 749 × 9896 ) / 1

LCM(749,9896) = 7412104 / 1

LCM(749,9896) = 7412104


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 4592/749, 9132/9896

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 4592/749, 9132/9896?

Answer: GCF of Numerators as per given numbers 4592/749, 9132/9896 is

GCF of Numerators i.e. for 4592,9132 is 4

LCM of denominators i.e. for 749,9896 is 7412104.

Thus, GCF of Fractions is 4/7412104.Finally, GCF of Fractions for 4592/749, 9132/9896 is 4/7412104.