Greatest Common Factor of 7965/54, 9185/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7965/54, 9185/280

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 7965/54,9185/280

Given fractions are 7965/54,9185/280

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 7965,9185

Greatest Common Factor of Numerators i.e. GCF of 7965,9185 is 5 .

LCM of Denominators means LCM of 54,280 as per the given fractions.

LCM of 54,280 is 7560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7965,9185

GCF of Fractions 7965/54,9185/280 is 5/7560

5 7965, 9185
1593, 1837

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7965,9185 By Matching Biggest Common Factor Method

Greatest Common Factor of 7965,9185 By Matching Biggest Common Factor Method

Factors of 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965

Factors of 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1,5,11,55,167,835,1837,9185

Greatest Common Factor

We found the factors 7965,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 7965,9185 is 5.

Lets's calculate LCM of 54,280

2 54, 280
27, 140

∴ So the LCM of the given numbers is 2 x 27 x 140 = 7560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7560

Therefore, the GCF of Fractions 7965/54,9185/280 is 5/7560

Least Common Multiple of 54,280 with GCF Formula

Least Common Multiple of 54,280 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 54,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,280) = 2

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

GCF(54,280) x common factors =2 x 1 = 2

LCM(54,280) = ( 54 × 280 ) / 2

LCM(54,280) = 15120 / 2

LCM(54,280) = 7560


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 7965/54, 9185/280

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 7965/54, 9185/280?

Answer: GCF of Numerators as per given numbers 7965/54, 9185/280 is

GCF of Numerators i.e. for 7965,9185 is 5

LCM of denominators i.e. for 54,280 is 7560.

Thus, GCF of Fractions is 5/7560.Finally, GCF of Fractions for 7965/54, 9185/280 is 5/7560.