Greatest Common Factor of 687/66, 700/80, 296/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/66, 700/80, 296/123

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 687/66,700/80,296/123

Given fractions are 687/66,700/80,296/123

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 687,700,296

Greatest Common Factor of Numerators i.e. GCF of 687,700,296 is 1 .

LCM of Denominators means LCM of 66,80,123 as per the given fractions.

LCM of 66,80,123 is 108240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,700,296

GCF of Fractions 687/66,700/80,296/123 is 1/108240

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

Greatest Common Factor of 687,700,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,700,296 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 687,700,296 . The biggest common factor number is the GCF number.
So the greatest common factor 687,700,296 is 1.

Lets's calculate LCM of 66,80,123

2 66, 80, 123
3 33, 40, 123
11, 40, 41

∴ So the LCM of the given numbers is 2 x 3 x 11 x 40 x 41 = 108240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108240

Therefore, the GCF of Fractions 687/66,700/80,296/123 is 1/108240

Least Common Multiple of 66,80,123 with GCF Formula

Least Common Multiple of 66,80,123 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 66,80,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,80,123) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,80,123) x common factors =1 x 6 = 6

LCM(66,80,123) = ( 66 × 80 × 123 ) / 6

LCM(66,80,123) = 649440 / 6

LCM(66,80,123) = 108240


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 687/66, 700/80, 296/123

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 687/66, 700/80, 296/123?

Answer: GCF of Numerators as per given numbers 687/66, 700/80, 296/123 is

GCF of Numerators i.e. for 687,700,296 is 1

LCM of denominators i.e. for 66,80,123 is 108240.

Thus, GCF of Fractions is 1/108240.Finally, GCF of Fractions for 687/66, 700/80, 296/123 is 1/108240.