Greatest Common Factor of 688/77, 656/36, 509/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/77, 656/36, 509/424

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 688/77,656/36,509/424

Given fractions are 688/77,656/36,509/424

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 688,656,509

Greatest Common Factor of Numerators i.e. GCF of 688,656,509 is 1 .

LCM of Denominators means LCM of 77,36,424 as per the given fractions.

LCM of 77,36,424 is 293832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,656,509

GCF of Fractions 688/77,656/36,509/424 is 1/293832

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

Greatest Common Factor of 688,656,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,656,509 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 688,656,509 . The biggest common factor number is the GCF number.
So the greatest common factor 688,656,509 is 1.

Lets's calculate LCM of 77,36,424

2 77, 36, 424
2 77, 18, 212
77, 9, 106

∴ So the LCM of the given numbers is 2 x 2 x 77 x 9 x 106 = 293832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293832

Therefore, the GCF of Fractions 688/77,656/36,509/424 is 1/293832

Least Common Multiple of 77,36,424 with GCF Formula

Least Common Multiple of 77,36,424 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 77,36,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,36,424) = 1

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

GCF(77,36,424) x common factors =1 x 4 = 4

LCM(77,36,424) = ( 77 × 36 × 424 ) / 4

LCM(77,36,424) = 1175328 / 4

LCM(77,36,424) = 293832


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 688/77, 656/36, 509/424

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 688/77, 656/36, 509/424?

Answer: GCF of Numerators as per given numbers 688/77, 656/36, 509/424 is

GCF of Numerators i.e. for 688,656,509 is 1

LCM of denominators i.e. for 77,36,424 is 293832.

Thus, GCF of Fractions is 1/293832.Finally, GCF of Fractions for 688/77, 656/36, 509/424 is 1/293832.