Greatest Common Factor of 5375/525, 2665/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5375/525, 2665/708

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 5375/525,2665/708

Given fractions are 5375/525,2665/708

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 5375,2665

Greatest Common Factor of Numerators i.e. GCF of 5375,2665 is 5 .

LCM of Denominators means LCM of 525,708 as per the given fractions.

LCM of 525,708 is 123900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5375,2665

GCF of Fractions 5375/525,2665/708 is 5/123900

5 5375, 2665
1075, 533

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5375,2665 By Matching Biggest Common Factor Method

Greatest Common Factor of 5375,2665 By Matching Biggest Common Factor Method

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Factors of 2665

List of positive integer factors of 2665 that divides 2665 without a remainder.

1,5,13,41,65,205,533,2665

Greatest Common Factor

We found the factors 5375,2665 . The biggest common factor number is the GCF number.
So the greatest common factor 5375,2665 is 5.

Lets's calculate LCM of 525,708

3 525, 708
175, 236

∴ So the LCM of the given numbers is 3 x 175 x 236 = 123900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/123900

Therefore, the GCF of Fractions 5375/525,2665/708 is 5/123900

Least Common Multiple of 525,708 with GCF Formula

Least Common Multiple of 525,708 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 525,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,708) = 3

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

GCF(525,708) x common factors =3 x 1 = 3

LCM(525,708) = ( 525 × 708 ) / 3

LCM(525,708) = 371700 / 3

LCM(525,708) = 123900


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 5375/525, 2665/708

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 5375/525, 2665/708?

Answer: GCF of Numerators as per given numbers 5375/525, 2665/708 is

GCF of Numerators i.e. for 5375,2665 is 5

LCM of denominators i.e. for 525,708 is 123900.

Thus, GCF of Fractions is 5/123900.Finally, GCF of Fractions for 5375/525, 2665/708 is 5/123900.