Greatest Common Factor of 5372/528, 3779/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5372/528, 3779/668

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 5372/528,3779/668

Given fractions are 5372/528,3779/668

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 5372,3779

Greatest Common Factor of Numerators i.e. GCF of 5372,3779 is 1 .

LCM of Denominators means LCM of 528,668 as per the given fractions.

LCM of 528,668 is 88176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5372,3779

GCF of Fractions 5372/528,3779/668 is 1/88176

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

Greatest Common Factor of 5372,3779 By Matching Biggest Common Factor Method

Greatest Common Factor of 5372,3779 By Matching Biggest Common Factor Method

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1,2,4,17,34,68,79,158,316,1343,2686,5372

Factors of 3779

List of positive integer factors of 3779 that divides 3779 without a remainder.

1,3779

Greatest Common Factor

We found the factors 5372,3779 . The biggest common factor number is the GCF number.
So the greatest common factor 5372,3779 is 1.

Lets's calculate LCM of 528,668

2 528, 668
2 264, 334
132, 167

∴ So the LCM of the given numbers is 2 x 2 x 132 x 167 = 88176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88176

Therefore, the GCF of Fractions 5372/528,3779/668 is 1/88176

Least Common Multiple of 528,668 with GCF Formula

Least Common Multiple of 528,668 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 528,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,668) = 4

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

GCF(528,668) x common factors =4 x 1 = 4

LCM(528,668) = ( 528 × 668 ) / 4

LCM(528,668) = 352704 / 4

LCM(528,668) = 88176


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 5372/528, 3779/668

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 5372/528, 3779/668?

Answer: GCF of Numerators as per given numbers 5372/528, 3779/668 is

GCF of Numerators i.e. for 5372,3779 is 1

LCM of denominators i.e. for 528,668 is 88176.

Thus, GCF of Fractions is 1/88176.Finally, GCF of Fractions for 5372/528, 3779/668 is 1/88176.