Greatest Common Factor of 8/40, 72/17, 95/277, 493/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/40, 72/17, 95/277, 493/270

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 8/40,72/17,95/277,493/270

Given fractions are 8/40,72/17,95/277,493/270

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 8,72,95,493

Greatest Common Factor of Numerators i.e. GCF of 8,72,95,493 is 1 .

LCM of Denominators means LCM of 40,17,277,270 as per the given fractions.

LCM of 40,17,277,270 is 5085720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,72,95,493

GCF of Fractions 8/40,72/17,95/277,493/270 is 1/5085720

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

Greatest Common Factor of 8,72,95,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,72,95,493 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 8,72,95,493 . The biggest common factor number is the GCF number.
So the greatest common factor 8,72,95,493 is 1.

Lets's calculate LCM of 40,17,277,270

2 40, 17, 277, 270
5 20, 17, 277, 135
4, 17, 277, 27

∴ So the LCM of the given numbers is 2 x 5 x 4 x 17 x 277 x 27 = 5085720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5085720

Therefore, the GCF of Fractions 8/40,72/17,95/277,493/270 is 1/5085720

Least Common Multiple of 40,17,277,270 with GCF Formula

Least Common Multiple of 40,17,277,270 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 40,17,277,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,17,277,270) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,17,277,270) x common factors =1 x 10 = 10

LCM(40,17,277,270) = ( 40 × 17 × 277 × 270 ) / 10

LCM(40,17,277,270) = 50857200 / 10

LCM(40,17,277,270) = 5085720


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 8/40, 72/17, 95/277, 493/270

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 8/40, 72/17, 95/277, 493/270?

Answer: GCF of Numerators as per given numbers 8/40, 72/17, 95/277, 493/270 is

GCF of Numerators i.e. for 8,72,95,493 is 1

LCM of denominators i.e. for 40,17,277,270 is 5085720.

Thus, GCF of Fractions is 1/5085720.Finally, GCF of Fractions for 8/40, 72/17, 95/277, 493/270 is 1/5085720.