Greatest Common Factor of 7188/949, 8868/8625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7188/949, 8868/8625

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 7188/949,8868/8625

Given fractions are 7188/949,8868/8625

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 7188,8868

Greatest Common Factor of Numerators i.e. GCF of 7188,8868 is 12 .

LCM of Denominators means LCM of 949,8625 as per the given fractions.

LCM of 949,8625 is 8185125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7188,8868

GCF of Fractions 7188/949,8868/8625 is 12/8185125

2 7188, 8868
2 3594, 4434
3 1797, 2217
599, 739

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 7188,8868 By Matching Biggest Common Factor Method

Greatest Common Factor of 7188,8868 By Matching Biggest Common Factor Method

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1,2,3,4,6,12,599,1198,1797,2396,3594,7188

Factors of 8868

List of positive integer factors of 8868 that divides 8868 without a remainder.

1,2,3,4,6,12,739,1478,2217,2956,4434,8868

Greatest Common Factor

We found the factors 7188,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 7188,8868 is 12.

Lets's calculate LCM of 949,8625

Given numbers has no common factors except 1. So, there LCM is their product i.e 8185125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/8185125

Therefore, the GCF of Fractions 7188/949,8868/8625 is 12/8185125

Least Common Multiple of 949,8625 with GCF Formula

Least Common Multiple of 949,8625 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 949,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,8625) = 1

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

GCF(949,8625) x common factors =1 x 1 = 1

LCM(949,8625) = ( 949 × 8625 ) / 1

LCM(949,8625) = 8185125 / 1

LCM(949,8625) = 8185125


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 7188/949, 8868/8625

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 7188/949, 8868/8625?

Answer: GCF of Numerators as per given numbers 7188/949, 8868/8625 is

GCF of Numerators i.e. for 7188,8868 is 12

LCM of denominators i.e. for 949,8625 is 8185125.

Thus, GCF of Fractions is 12/8185125.Finally, GCF of Fractions for 7188/949, 8868/8625 is 12/8185125.