Greatest Common Factor of 280/30, 587/96, 491/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/30, 587/96, 491/64

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 280/30,587/96,491/64

Given fractions are 280/30,587/96,491/64

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 280,587,491

Greatest Common Factor of Numerators i.e. GCF of 280,587,491 is 1 .

LCM of Denominators means LCM of 30,96,64 as per the given fractions.

LCM of 30,96,64 is 960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,587,491

GCF of Fractions 280/30,587/96,491/64 is 1/960

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

Greatest Common Factor of 280,587,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,587,491 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 280,587,491 . The biggest common factor number is the GCF number.
So the greatest common factor 280,587,491 is 1.

Lets's calculate LCM of 30,96,64

2 30, 96, 64
2 15, 48, 32
2 15, 24, 16
2 15, 12, 8
2 15, 6, 4
3 15, 3, 2
5, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 2 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960

Therefore, the GCF of Fractions 280/30,587/96,491/64 is 1/960

Least Common Multiple of 30,96,64 with GCF Formula

Least Common Multiple of 30,96,64 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 30,96,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,96,64) = 2

common factors(in case of two or more numbers have common factors) = 96

GCF(30,96,64) x common factors =2 x 96 = 192

LCM(30,96,64) = ( 30 × 96 × 64 ) / 192

LCM(30,96,64) = 184320 / 192

LCM(30,96,64) = 960


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 280/30, 587/96, 491/64

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 280/30, 587/96, 491/64?

Answer: GCF of Numerators as per given numbers 280/30, 587/96, 491/64 is

GCF of Numerators i.e. for 280,587,491 is 1

LCM of denominators i.e. for 30,96,64 is 960.

Thus, GCF of Fractions is 1/960.Finally, GCF of Fractions for 280/30, 587/96, 491/64 is 1/960.