Greatest Common Factor of 8892/173, 7388/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8892/173, 7388/825

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 8892/173,7388/825

Given fractions are 8892/173,7388/825

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 8892,7388

Greatest Common Factor of Numerators i.e. GCF of 8892,7388 is 4 .

LCM of Denominators means LCM of 173,825 as per the given fractions.

LCM of 173,825 is 142725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8892,7388

GCF of Fractions 8892/173,7388/825 is 4/142725

2 8892, 7388
2 4446, 3694
2223, 1847

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

Greatest Common Factor of 8892,7388 By Matching Biggest Common Factor Method

Greatest Common Factor of 8892,7388 By Matching Biggest Common Factor Method

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1,2,4,1847,3694,7388

Greatest Common Factor

We found the factors 8892,7388 . The biggest common factor number is the GCF number.
So the greatest common factor 8892,7388 is 4.

Lets's calculate LCM of 173,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 142725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/142725

Therefore, the GCF of Fractions 8892/173,7388/825 is 4/142725

Least Common Multiple of 173,825 with GCF Formula

Least Common Multiple of 173,825 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 173,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,825) = 1

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

GCF(173,825) x common factors =1 x 1 = 1

LCM(173,825) = ( 173 × 825 ) / 1

LCM(173,825) = 142725 / 1

LCM(173,825) = 142725


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 8892/173, 7388/825

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 8892/173, 7388/825?

Answer: GCF of Numerators as per given numbers 8892/173, 7388/825 is

GCF of Numerators i.e. for 8892,7388 is 4

LCM of denominators i.e. for 173,825 is 142725.

Thus, GCF of Fractions is 4/142725.Finally, GCF of Fractions for 8892/173, 7388/825 is 4/142725.