Greatest Common Factor of 915/280, 964/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 915/280, 964/217

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 915/280,964/217

Given fractions are 915/280,964/217

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 915,964

Greatest Common Factor of Numerators i.e. GCF of 915,964 is 1 .

LCM of Denominators means LCM of 280,217 as per the given fractions.

LCM of 280,217 is 8680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 915,964

GCF of Fractions 915/280,964/217 is 1/8680

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

Greatest Common Factor of 915,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,964 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 915,964 . The biggest common factor number is the GCF number.
So the greatest common factor 915,964 is 1.

Lets's calculate LCM of 280,217

7 280, 217
40, 31

∴ So the LCM of the given numbers is 7 x 40 x 31 = 8680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8680

Therefore, the GCF of Fractions 915/280,964/217 is 1/8680

Least Common Multiple of 280,217 with GCF Formula

Least Common Multiple of 280,217 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 280,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,217) = 7

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

GCF(280,217) x common factors =7 x 1 = 7

LCM(280,217) = ( 280 × 217 ) / 7

LCM(280,217) = 60760 / 7

LCM(280,217) = 8680


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 915/280, 964/217

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 915/280, 964/217?

Answer: GCF of Numerators as per given numbers 915/280, 964/217 is

GCF of Numerators i.e. for 915,964 is 1

LCM of denominators i.e. for 280,217 is 8680.

Thus, GCF of Fractions is 1/8680.Finally, GCF of Fractions for 915/280, 964/217 is 1/8680.