Greatest Common Factor of 8621/618, 4144/3544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8621/618, 4144/3544

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 8621/618,4144/3544

Given fractions are 8621/618,4144/3544

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 8621,4144

Greatest Common Factor of Numerators i.e. GCF of 8621,4144 is 37 .

LCM of Denominators means LCM of 618,3544 as per the given fractions.

LCM of 618,3544 is 1095096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8621,4144

GCF of Fractions 8621/618,4144/3544 is 37/1095096

37 8621, 4144
233, 112

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 8621,4144 By Matching Biggest Common Factor Method

Greatest Common Factor of 8621,4144 By Matching Biggest Common Factor Method

Factors of 8621

List of positive integer factors of 8621 that divides 8621 without a remainder.

1,37,233,8621

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Greatest Common Factor

We found the factors 8621,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 8621,4144 is 37.

Lets's calculate LCM of 618,3544

2 618, 3544
309, 1772

∴ So the LCM of the given numbers is 2 x 309 x 1772 = 1095096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/1095096

Therefore, the GCF of Fractions 8621/618,4144/3544 is 37/1095096

Least Common Multiple of 618,3544 with GCF Formula

Least Common Multiple of 618,3544 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 618,3544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,3544) = 2

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

GCF(618,3544) x common factors =2 x 1 = 2

LCM(618,3544) = ( 618 × 3544 ) / 2

LCM(618,3544) = 2190192 / 2

LCM(618,3544) = 1095096


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 8621/618, 4144/3544

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 8621/618, 4144/3544?

Answer: GCF of Numerators as per given numbers 8621/618, 4144/3544 is

GCF of Numerators i.e. for 8621,4144 is 37

LCM of denominators i.e. for 618,3544 is 1095096.

Thus, GCF of Fractions is 37/1095096.Finally, GCF of Fractions for 8621/618, 4144/3544 is 37/1095096.