Greatest Common Factor of 9906/527, 9054/6875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9906/527, 9054/6875

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 9906/527,9054/6875

Given fractions are 9906/527,9054/6875

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 9906,9054

Greatest Common Factor of Numerators i.e. GCF of 9906,9054 is 6 .

LCM of Denominators means LCM of 527,6875 as per the given fractions.

LCM of 527,6875 is 3623125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9906,9054

GCF of Fractions 9906/527,9054/6875 is 6/3623125

2 9906, 9054
3 4953, 4527
1651, 1509

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9906,9054 By Matching Biggest Common Factor Method

Greatest Common Factor of 9906,9054 By Matching Biggest Common Factor Method

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Greatest Common Factor

We found the factors 9906,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 9906,9054 is 6.

Lets's calculate LCM of 527,6875

Given numbers has no common factors except 1. So, there LCM is their product i.e 3623125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3623125

Therefore, the GCF of Fractions 9906/527,9054/6875 is 6/3623125

Least Common Multiple of 527,6875 with GCF Formula

Least Common Multiple of 527,6875 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 527,6875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,6875) = 1

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

GCF(527,6875) x common factors =1 x 1 = 1

LCM(527,6875) = ( 527 × 6875 ) / 1

LCM(527,6875) = 3623125 / 1

LCM(527,6875) = 3623125


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 9906/527, 9054/6875

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 9906/527, 9054/6875?

Answer: GCF of Numerators as per given numbers 9906/527, 9054/6875 is

GCF of Numerators i.e. for 9906,9054 is 6

LCM of denominators i.e. for 527,6875 is 3623125.

Thus, GCF of Fractions is 6/3623125.Finally, GCF of Fractions for 9906/527, 9054/6875 is 6/3623125.