Greatest Common Factor of 687/28, 354/71, 358/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/28, 354/71, 358/204

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 687/28,354/71,358/204

Given fractions are 687/28,354/71,358/204

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 687,354,358

Greatest Common Factor of Numerators i.e. GCF of 687,354,358 is 1 .

LCM of Denominators means LCM of 28,71,204 as per the given fractions.

LCM of 28,71,204 is 101388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,354,358

GCF of Fractions 687/28,354/71,358/204 is 1/101388

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

Greatest Common Factor of 687,354,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,354,358 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 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 687,354,358 . The biggest common factor number is the GCF number.
So the greatest common factor 687,354,358 is 1.

Lets's calculate LCM of 28,71,204

2 28, 71, 204
2 14, 71, 102
7, 71, 51

∴ So the LCM of the given numbers is 2 x 2 x 7 x 71 x 51 = 101388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101388

Therefore, the GCF of Fractions 687/28,354/71,358/204 is 1/101388

Least Common Multiple of 28,71,204 with GCF Formula

Least Common Multiple of 28,71,204 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 28,71,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,71,204) = 1

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

GCF(28,71,204) x common factors =1 x 4 = 4

LCM(28,71,204) = ( 28 × 71 × 204 ) / 4

LCM(28,71,204) = 405552 / 4

LCM(28,71,204) = 101388


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 687/28, 354/71, 358/204

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 687/28, 354/71, 358/204?

Answer: GCF of Numerators as per given numbers 687/28, 354/71, 358/204 is

GCF of Numerators i.e. for 687,354,358 is 1

LCM of denominators i.e. for 28,71,204 is 101388.

Thus, GCF of Fractions is 1/101388.Finally, GCF of Fractions for 687/28, 354/71, 358/204 is 1/101388.