Greatest Common Factor of 3575/267, 4016/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3575/267, 4016/942

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 3575/267,4016/942

Given fractions are 3575/267,4016/942

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 3575,4016

Greatest Common Factor of Numerators i.e. GCF of 3575,4016 is 1 .

LCM of Denominators means LCM of 267,942 as per the given fractions.

LCM of 267,942 is 83838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3575,4016

GCF of Fractions 3575/267,4016/942 is 1/83838

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

Greatest Common Factor of 3575,4016 By Matching Biggest Common Factor Method

Greatest Common Factor of 3575,4016 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 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1,2,4,8,16,251,502,1004,2008,4016

Greatest Common Factor

We found the factors 3575,4016 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,4016 is 1.

Lets's calculate LCM of 267,942

3 267, 942
89, 314

∴ So the LCM of the given numbers is 3 x 89 x 314 = 83838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83838

Therefore, the GCF of Fractions 3575/267,4016/942 is 1/83838

Least Common Multiple of 267,942 with GCF Formula

Least Common Multiple of 267,942 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 267,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,942) = 3

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

GCF(267,942) x common factors =3 x 1 = 3

LCM(267,942) = ( 267 × 942 ) / 3

LCM(267,942) = 251514 / 3

LCM(267,942) = 83838


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 3575/267, 4016/942

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 3575/267, 4016/942?

Answer: GCF of Numerators as per given numbers 3575/267, 4016/942 is

GCF of Numerators i.e. for 3575,4016 is 1

LCM of denominators i.e. for 267,942 is 83838.

Thus, GCF of Fractions is 1/83838.Finally, GCF of Fractions for 3575/267, 4016/942 is 1/83838.