Greatest Common Factor of 123/74, 636/75, 511/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/74, 636/75, 511/95

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 123/74,636/75,511/95

Given fractions are 123/74,636/75,511/95

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 123,636,511

Greatest Common Factor of Numerators i.e. GCF of 123,636,511 is 1 .

LCM of Denominators means LCM of 74,75,95 as per the given fractions.

LCM of 74,75,95 is 105450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,636,511

GCF of Fractions 123/74,636/75,511/95 is 1/105450

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

Greatest Common Factor of 123,636,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,636,511 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 123,636,511 . The biggest common factor number is the GCF number.
So the greatest common factor 123,636,511 is 1.

Lets's calculate LCM of 74,75,95

5 74, 75, 95
74, 15, 19

∴ So the LCM of the given numbers is 5 x 74 x 15 x 19 = 105450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105450

Therefore, the GCF of Fractions 123/74,636/75,511/95 is 1/105450

Least Common Multiple of 74,75,95 with GCF Formula

Least Common Multiple of 74,75,95 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 74,75,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,75,95) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(74,75,95) x common factors =1 x 5 = 5

LCM(74,75,95) = ( 74 × 75 × 95 ) / 5

LCM(74,75,95) = 527250 / 5

LCM(74,75,95) = 105450


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 123/74, 636/75, 511/95

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 123/74, 636/75, 511/95?

Answer: GCF of Numerators as per given numbers 123/74, 636/75, 511/95 is

GCF of Numerators i.e. for 123,636,511 is 1

LCM of denominators i.e. for 74,75,95 is 105450.

Thus, GCF of Fractions is 1/105450.Finally, GCF of Fractions for 123/74, 636/75, 511/95 is 1/105450.