Greatest Common Factor of 3575/732, 9920/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3575/732, 9920/542

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 3575/732,9920/542

Given fractions are 3575/732,9920/542

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 3575,9920

Greatest Common Factor of Numerators i.e. GCF of 3575,9920 is 5 .

LCM of Denominators means LCM of 732,542 as per the given fractions.

LCM of 732,542 is 198372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3575,9920

GCF of Fractions 3575/732,9920/542 is 5/198372

5 3575, 9920
715, 1984

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

Greatest Common Factor of 3575,9920 By Matching Biggest Common Factor Method

Greatest Common Factor of 3575,9920 By Matching Biggest Common Factor Method

Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1,5,11,13,25,55,65,143,275,325,715,3575

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors 3575,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,9920 is 5.

Lets's calculate LCM of 732,542

2 732, 542
366, 271

∴ So the LCM of the given numbers is 2 x 366 x 271 = 198372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/198372

Therefore, the GCF of Fractions 3575/732,9920/542 is 5/198372

Least Common Multiple of 732,542 with GCF Formula

Least Common Multiple of 732,542 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 732,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,542) = 2

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

GCF(732,542) x common factors =2 x 1 = 2

LCM(732,542) = ( 732 × 542 ) / 2

LCM(732,542) = 396744 / 2

LCM(732,542) = 198372


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 3575/732, 9920/542

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 3575/732, 9920/542?

Answer: GCF of Numerators as per given numbers 3575/732, 9920/542 is

GCF of Numerators i.e. for 3575,9920 is 5

LCM of denominators i.e. for 732,542 is 198372.

Thus, GCF of Fractions is 5/198372.Finally, GCF of Fractions for 3575/732, 9920/542 is 5/198372.