Greatest Common Factor of 5544/75, 7968/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5544/75, 7968/858

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 5544/75,7968/858

Given fractions are 5544/75,7968/858

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 5544,7968

Greatest Common Factor of Numerators i.e. GCF of 5544,7968 is 24 .

LCM of Denominators means LCM of 75,858 as per the given fractions.

LCM of 75,858 is 21450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5544,7968

GCF of Fractions 5544/75,7968/858 is 24/21450

2 5544, 7968
2 2772, 3984
2 1386, 1992
3 693, 996
231, 332

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 5544,7968 By Matching Biggest Common Factor Method

Greatest Common Factor of 5544,7968 By Matching Biggest Common Factor Method

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968

Greatest Common Factor

We found the factors 5544,7968 . The biggest common factor number is the GCF number.
So the greatest common factor 5544,7968 is 24.

Lets's calculate LCM of 75,858

3 75, 858
25, 286

∴ So the LCM of the given numbers is 3 x 25 x 286 = 21450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/21450

Therefore, the GCF of Fractions 5544/75,7968/858 is 24/21450

Least Common Multiple of 75,858 with GCF Formula

Least Common Multiple of 75,858 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 75,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,858) = 3

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

GCF(75,858) x common factors =3 x 1 = 3

LCM(75,858) = ( 75 × 858 ) / 3

LCM(75,858) = 64350 / 3

LCM(75,858) = 21450


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 5544/75, 7968/858

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 5544/75, 7968/858?

Answer: GCF of Numerators as per given numbers 5544/75, 7968/858 is

GCF of Numerators i.e. for 5544,7968 is 24

LCM of denominators i.e. for 75,858 is 21450.

Thus, GCF of Fractions is 24/21450.Finally, GCF of Fractions for 5544/75, 7968/858 is 24/21450.