Greatest Common Factor of 8928/79, 1444/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8928/79, 1444/442

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 8928/79,1444/442

Given fractions are 8928/79,1444/442

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 8928,1444

Greatest Common Factor of Numerators i.e. GCF of 8928,1444 is 4 .

LCM of Denominators means LCM of 79,442 as per the given fractions.

LCM of 79,442 is 34918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8928,1444

GCF of Fractions 8928/79,1444/442 is 4/34918

2 8928, 1444
2 4464, 722
2232, 361

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8928,1444 By Matching Biggest Common Factor Method

Greatest Common Factor of 8928,1444 By Matching Biggest Common Factor Method

Factors of 8928

List of positive integer factors of 8928 that divides 8928 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,32,36,48,62,72,93,96,124,144,186,248,279,288,372,496,558,744,992,1116,1488,2232,2976,4464,8928

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1,2,4,19,38,76,361,722,1444

Greatest Common Factor

We found the factors 8928,1444 . The biggest common factor number is the GCF number.
So the greatest common factor 8928,1444 is 4.

Lets's calculate LCM of 79,442

Given numbers has no common factors except 1. So, there LCM is their product i.e 34918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34918

Therefore, the GCF of Fractions 8928/79,1444/442 is 4/34918

Least Common Multiple of 79,442 with GCF Formula

Least Common Multiple of 79,442 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 79,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,442) = 1

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

GCF(79,442) x common factors =1 x 1 = 1

LCM(79,442) = ( 79 × 442 ) / 1

LCM(79,442) = 34918 / 1

LCM(79,442) = 34918


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 8928/79, 1444/442

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 8928/79, 1444/442?

Answer: GCF of Numerators as per given numbers 8928/79, 1444/442 is

GCF of Numerators i.e. for 8928,1444 is 4

LCM of denominators i.e. for 79,442 is 34918.

Thus, GCF of Fractions is 4/34918.Finally, GCF of Fractions for 8928/79, 1444/442 is 4/34918.