Greatest Common Factor of 84/67, 25/44, 656/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/67, 25/44, 656/362

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 84/67,25/44,656/362

Given fractions are 84/67,25/44,656/362

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 84,25,656

Greatest Common Factor of Numerators i.e. GCF of 84,25,656 is 1 .

LCM of Denominators means LCM of 67,44,362 as per the given fractions.

LCM of 67,44,362 is 533588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,25,656

GCF of Fractions 84/67,25/44,656/362 is 1/533588

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

Greatest Common Factor of 84,25,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,25,656 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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

Greatest Common Factor

We found the factors 84,25,656 . The biggest common factor number is the GCF number.
So the greatest common factor 84,25,656 is 1.

Lets's calculate LCM of 67,44,362

2 67, 44, 362
67, 22, 181

∴ So the LCM of the given numbers is 2 x 67 x 22 x 181 = 533588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533588

Therefore, the GCF of Fractions 84/67,25/44,656/362 is 1/533588

Least Common Multiple of 67,44,362 with GCF Formula

Least Common Multiple of 67,44,362 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 67,44,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,44,362) = 1

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

GCF(67,44,362) x common factors =1 x 2 = 2

LCM(67,44,362) = ( 67 × 44 × 362 ) / 2

LCM(67,44,362) = 1067176 / 2

LCM(67,44,362) = 533588


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 84/67, 25/44, 656/362

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 84/67, 25/44, 656/362?

Answer: GCF of Numerators as per given numbers 84/67, 25/44, 656/362 is

GCF of Numerators i.e. for 84,25,656 is 1

LCM of denominators i.e. for 67,44,362 is 533588.

Thus, GCF of Fractions is 1/533588.Finally, GCF of Fractions for 84/67, 25/44, 656/362 is 1/533588.