Greatest Common Factor of 84/74, 12/964, 637/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/74, 12/964, 637/106

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 84/74,12/964,637/106

Given fractions are 84/74,12/964,637/106

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 84,12,637

Greatest Common Factor of Numerators i.e. GCF of 84,12,637 is 1 .

LCM of Denominators means LCM of 74,964,106 as per the given fractions.

LCM of 74,964,106 is 1890404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,12,637

GCF of Fractions 84/74,12/964,637/106 is 1/1890404

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

Greatest Common Factor of 84,12,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,12,637 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 84,12,637 . The biggest common factor number is the GCF number.
So the greatest common factor 84,12,637 is 1.

Lets's calculate LCM of 74,964,106

2 74, 964, 106
37, 482, 53

∴ So the LCM of the given numbers is 2 x 37 x 482 x 53 = 1890404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1890404

Therefore, the GCF of Fractions 84/74,12/964,637/106 is 1/1890404

Least Common Multiple of 74,964,106 with GCF Formula

Least Common Multiple of 74,964,106 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 74,964,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,964,106) = 2

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

GCF(74,964,106) x common factors =2 x 2 = 4

LCM(74,964,106) = ( 74 × 964 × 106 ) / 4

LCM(74,964,106) = 7561616 / 4

LCM(74,964,106) = 1890404


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 84/74, 12/964, 637/106

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 84/74, 12/964, 637/106?

Answer: GCF of Numerators as per given numbers 84/74, 12/964, 637/106 is

GCF of Numerators i.e. for 84,12,637 is 1

LCM of denominators i.e. for 74,964,106 is 1890404.

Thus, GCF of Fractions is 1/1890404.Finally, GCF of Fractions for 84/74, 12/964, 637/106 is 1/1890404.