Greatest Common Factor of 577/240, 247/647, 987/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 577/240, 247/647, 987/668

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 577/240,247/647,987/668

Given fractions are 577/240,247/647,987/668

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 577,247,987

Greatest Common Factor of Numerators i.e. GCF of 577,247,987 is 1 .

LCM of Denominators means LCM of 240,647,668 as per the given fractions.

LCM of 240,647,668 is 25931760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 577,247,987

GCF of Fractions 577/240,247/647,987/668 is 1/25931760

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

Greatest Common Factor of 577,247,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,247,987 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 577,247,987 . The biggest common factor number is the GCF number.
So the greatest common factor 577,247,987 is 1.

Lets's calculate LCM of 240,647,668

2 240, 647, 668
2 120, 647, 334
60, 647, 167

∴ So the LCM of the given numbers is 2 x 2 x 60 x 647 x 167 = 25931760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25931760

Therefore, the GCF of Fractions 577/240,247/647,987/668 is 1/25931760

Least Common Multiple of 240,647,668 with GCF Formula

Least Common Multiple of 240,647,668 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 240,647,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,647,668) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(240,647,668) x common factors =1 x 4 = 4

LCM(240,647,668) = ( 240 × 647 × 668 ) / 4

LCM(240,647,668) = 103727040 / 4

LCM(240,647,668) = 25931760


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 577/240, 247/647, 987/668

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 577/240, 247/647, 987/668?

Answer: GCF of Numerators as per given numbers 577/240, 247/647, 987/668 is

GCF of Numerators i.e. for 577,247,987 is 1

LCM of denominators i.e. for 240,647,668 is 25931760.

Thus, GCF of Fractions is 1/25931760.Finally, GCF of Fractions for 577/240, 247/647, 987/668 is 1/25931760.