Greatest Common Factor of 5544/846, 7892/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5544/846, 7892/172

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 5544/846,7892/172

Given fractions are 5544/846,7892/172

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 5544,7892

Greatest Common Factor of Numerators i.e. GCF of 5544,7892 is 4 .

LCM of Denominators means LCM of 846,172 as per the given fractions.

LCM of 846,172 is 72756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5544,7892

GCF of Fractions 5544/846,7892/172 is 4/72756

2 5544, 7892
2 2772, 3946
1386, 1973

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

Greatest Common Factor of 5544,7892 By Matching Biggest Common Factor Method

Greatest Common Factor of 5544,7892 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 7892

List of positive integer factors of 7892 that divides 7892 without a remainder.

1,2,4,1973,3946,7892

Greatest Common Factor

We found the factors 5544,7892 . The biggest common factor number is the GCF number.
So the greatest common factor 5544,7892 is 4.

Lets's calculate LCM of 846,172

2 846, 172
423, 86

∴ So the LCM of the given numbers is 2 x 423 x 86 = 72756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/72756

Therefore, the GCF of Fractions 5544/846,7892/172 is 4/72756

Least Common Multiple of 846,172 with GCF Formula

Least Common Multiple of 846,172 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 846,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,172) = 2

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

GCF(846,172) x common factors =2 x 1 = 2

LCM(846,172) = ( 846 × 172 ) / 2

LCM(846,172) = 145512 / 2

LCM(846,172) = 72756


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 5544/846, 7892/172

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 5544/846, 7892/172?

Answer: GCF of Numerators as per given numbers 5544/846, 7892/172 is

GCF of Numerators i.e. for 5544,7892 is 4

LCM of denominators i.e. for 846,172 is 72756.

Thus, GCF of Fractions is 4/72756.Finally, GCF of Fractions for 5544/846, 7892/172 is 4/72756.