Greatest Common Factor of 5308/488, 7532/3888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5308/488, 7532/3888

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 5308/488,7532/3888

Given fractions are 5308/488,7532/3888

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 5308,7532

Greatest Common Factor of Numerators i.e. GCF of 5308,7532 is 4 .

LCM of Denominators means LCM of 488,3888 as per the given fractions.

LCM of 488,3888 is 237168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5308,7532

GCF of Fractions 5308/488,7532/3888 is 4/237168

2 5308, 7532
2 2654, 3766
1327, 1883

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

Greatest Common Factor of 5308,7532 By Matching Biggest Common Factor Method

Greatest Common Factor of 5308,7532 By Matching Biggest Common Factor Method

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1,2,4,1327,2654,5308

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Greatest Common Factor

We found the factors 5308,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 5308,7532 is 4.

Lets's calculate LCM of 488,3888

2 488, 3888
2 244, 1944
2 122, 972
61, 486

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 486 = 237168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/237168

Therefore, the GCF of Fractions 5308/488,7532/3888 is 4/237168

Least Common Multiple of 488,3888 with GCF Formula

Least Common Multiple of 488,3888 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 488,3888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,3888) = 8

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

GCF(488,3888) x common factors =8 x 1 = 8

LCM(488,3888) = ( 488 × 3888 ) / 8

LCM(488,3888) = 1897344 / 8

LCM(488,3888) = 237168


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 5308/488, 7532/3888

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 5308/488, 7532/3888?

Answer: GCF of Numerators as per given numbers 5308/488, 7532/3888 is

GCF of Numerators i.e. for 5308,7532 is 4

LCM of denominators i.e. for 488,3888 is 237168.

Thus, GCF of Fractions is 4/237168.Finally, GCF of Fractions for 5308/488, 7532/3888 is 4/237168.