Greatest Common Factor of 4652/70, 3165/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4652/70, 3165/972

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 4652/70,3165/972

Given fractions are 4652/70,3165/972

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 4652,3165

Greatest Common Factor of Numerators i.e. GCF of 4652,3165 is 1 .

LCM of Denominators means LCM of 70,972 as per the given fractions.

LCM of 70,972 is 34020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4652,3165

GCF of Fractions 4652/70,3165/972 is 1/34020

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

Greatest Common Factor of 4652,3165 By Matching Biggest Common Factor Method

Greatest Common Factor of 4652,3165 By Matching Biggest Common Factor Method

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1,2,4,1163,2326,4652

Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1,3,5,15,211,633,1055,3165

Greatest Common Factor

We found the factors 4652,3165 . The biggest common factor number is the GCF number.
So the greatest common factor 4652,3165 is 1.

Lets's calculate LCM of 70,972

2 70, 972
35, 486

∴ So the LCM of the given numbers is 2 x 35 x 486 = 34020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34020

Therefore, the GCF of Fractions 4652/70,3165/972 is 1/34020

Least Common Multiple of 70,972 with GCF Formula

Least Common Multiple of 70,972 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 70,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,972) = 2

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

GCF(70,972) x common factors =2 x 1 = 2

LCM(70,972) = ( 70 × 972 ) / 2

LCM(70,972) = 68040 / 2

LCM(70,972) = 34020


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 4652/70, 3165/972

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 4652/70, 3165/972?

Answer: GCF of Numerators as per given numbers 4652/70, 3165/972 is

GCF of Numerators i.e. for 4652,3165 is 1

LCM of denominators i.e. for 70,972 is 34020.

Thus, GCF of Fractions is 1/34020.Finally, GCF of Fractions for 4652/70, 3165/972 is 1/34020.