Greatest Common Factor of 9078/624, 9547/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9078/624, 9547/260

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 9078/624,9547/260

Given fractions are 9078/624,9547/260

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 9078,9547

Greatest Common Factor of Numerators i.e. GCF of 9078,9547 is 1 .

LCM of Denominators means LCM of 624,260 as per the given fractions.

LCM of 624,260 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9078,9547

GCF of Fractions 9078/624,9547/260 is 1/3120

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9078,9547 By Matching Biggest Common Factor Method

Greatest Common Factor of 9078,9547 By Matching Biggest Common Factor Method

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

Factors of 9547

List of positive integer factors of 9547 that divides 9547 without a remainder.

1,9547

Greatest Common Factor

We found the factors 9078,9547 . The biggest common factor number is the GCF number.
So the greatest common factor 9078,9547 is 1.

Lets's calculate LCM of 624,260

2 624, 260
2 312, 130
13 156, 65
12, 5

∴ So the LCM of the given numbers is 2 x 2 x 13 x 12 x 5 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120

Therefore, the GCF of Fractions 9078/624,9547/260 is 1/3120

Least Common Multiple of 624,260 with GCF Formula

Least Common Multiple of 624,260 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 624,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,260) = 52

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

GCF(624,260) x common factors =52 x 1 = 52

LCM(624,260) = ( 624 × 260 ) / 52

LCM(624,260) = 162240 / 52

LCM(624,260) = 3120


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 9078/624, 9547/260

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 9078/624, 9547/260?

Answer: GCF of Numerators as per given numbers 9078/624, 9547/260 is

GCF of Numerators i.e. for 9078,9547 is 1

LCM of denominators i.e. for 624,260 is 3120.

Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 9078/624, 9547/260 is 1/3120.