Greatest Common Factor of 4641/652, 2415/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4641/652, 2415/114

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 4641/652,2415/114

Given fractions are 4641/652,2415/114

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 4641,2415

Greatest Common Factor of Numerators i.e. GCF of 4641,2415 is 21 .

LCM of Denominators means LCM of 652,114 as per the given fractions.

LCM of 652,114 is 37164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4641,2415

GCF of Fractions 4641/652,2415/114 is 21/37164

3 4641, 2415
7 1547, 805
221, 115

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 4641,2415 By Matching Biggest Common Factor Method

Greatest Common Factor of 4641,2415 By Matching Biggest Common Factor Method

Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Greatest Common Factor

We found the factors 4641,2415 . The biggest common factor number is the GCF number.
So the greatest common factor 4641,2415 is 21.

Lets's calculate LCM of 652,114

2 652, 114
326, 57

∴ So the LCM of the given numbers is 2 x 326 x 57 = 37164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/37164

Therefore, the GCF of Fractions 4641/652,2415/114 is 21/37164

Least Common Multiple of 652,114 with GCF Formula

Least Common Multiple of 652,114 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 652,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,114) = 2

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

GCF(652,114) x common factors =2 x 1 = 2

LCM(652,114) = ( 652 × 114 ) / 2

LCM(652,114) = 74328 / 2

LCM(652,114) = 37164


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4641/652, 2415/114

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 4641/652, 2415/114?

Answer: GCF of Numerators as per given numbers 4641/652, 2415/114 is

GCF of Numerators i.e. for 4641,2415 is 21

LCM of denominators i.e. for 652,114 is 37164.

Thus, GCF of Fractions is 21/37164.Finally, GCF of Fractions for 4641/652, 2415/114 is 21/37164.