Greatest Common Factor of 3635/413, 8952/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3635/413, 8952/332

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 3635/413,8952/332

Given fractions are 3635/413,8952/332

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 3635,8952

Greatest Common Factor of Numerators i.e. GCF of 3635,8952 is 1 .

LCM of Denominators means LCM of 413,332 as per the given fractions.

LCM of 413,332 is 137116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3635,8952

GCF of Fractions 3635/413,8952/332 is 1/137116

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

Greatest Common Factor of 3635,8952 By Matching Biggest Common Factor Method

Greatest Common Factor of 3635,8952 By Matching Biggest Common Factor Method

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors 3635,8952 . The biggest common factor number is the GCF number.
So the greatest common factor 3635,8952 is 1.

Lets's calculate LCM of 413,332

Given numbers has no common factors except 1. So, there LCM is their product i.e 137116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137116

Therefore, the GCF of Fractions 3635/413,8952/332 is 1/137116

Least Common Multiple of 413,332 with GCF Formula

Least Common Multiple of 413,332 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 413,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,332) = 1

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

GCF(413,332) x common factors =1 x 1 = 1

LCM(413,332) = ( 413 × 332 ) / 1

LCM(413,332) = 137116 / 1

LCM(413,332) = 137116


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 3635/413, 8952/332

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 3635/413, 8952/332?

Answer: GCF of Numerators as per given numbers 3635/413, 8952/332 is

GCF of Numerators i.e. for 3635,8952 is 1

LCM of denominators i.e. for 413,332 is 137116.

Thus, GCF of Fractions is 1/137116.Finally, GCF of Fractions for 3635/413, 8952/332 is 1/137116.