Greatest Common Factor of 680/77, 520/64, 560/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/77, 520/64, 560/542

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 680/77,520/64,560/542

Given fractions are 680/77,520/64,560/542

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 680,520,560

Greatest Common Factor of Numerators i.e. GCF of 680,520,560 is 40 .

LCM of Denominators means LCM of 77,64,542 as per the given fractions.

LCM of 77,64,542 is 1335488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,520,560

GCF of Fractions 680/77,520/64,560/542 is 40/1335488

2 680, 520, 560
2 340, 260, 280
2 170, 130, 140
5 85, 65, 70
17, 13, 14

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 680,520,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,520,560 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 680,520,560 . The biggest common factor number is the GCF number.
So the greatest common factor 680,520,560 is 40.

Lets's calculate LCM of 77,64,542

2 77, 64, 542
77, 32, 271

∴ So the LCM of the given numbers is 2 x 77 x 32 x 271 = 1335488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/1335488

Therefore, the GCF of Fractions 680/77,520/64,560/542 is 40/1335488

Least Common Multiple of 77,64,542 with GCF Formula

Least Common Multiple of 77,64,542 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 77,64,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,64,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,64,542) x common factors =1 x 2 = 2

LCM(77,64,542) = ( 77 × 64 × 542 ) / 2

LCM(77,64,542) = 2670976 / 2

LCM(77,64,542) = 1335488


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 680/77, 520/64, 560/542

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 680/77, 520/64, 560/542?

Answer: GCF of Numerators as per given numbers 680/77, 520/64, 560/542 is

GCF of Numerators i.e. for 680,520,560 is 40

LCM of denominators i.e. for 77,64,542 is 1335488.

Thus, GCF of Fractions is 40/1335488.Finally, GCF of Fractions for 680/77, 520/64, 560/542 is 40/1335488.