Greatest Common Factor of 92/136, 95/605, 507/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/136, 95/605, 507/242

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 92/136,95/605,507/242

Given fractions are 92/136,95/605,507/242

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 92,95,507

Greatest Common Factor of Numerators i.e. GCF of 92,95,507 is 1 .

LCM of Denominators means LCM of 136,605,242 as per the given fractions.

LCM of 136,605,242 is 82280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,95,507

GCF of Fractions 92/136,95/605,507/242 is 1/82280

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

Greatest Common Factor of 92,95,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,95,507 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 92,95,507 . The biggest common factor number is the GCF number.
So the greatest common factor 92,95,507 is 1.

Lets's calculate LCM of 136,605,242

2 136, 605, 242
11 68, 605, 121
11 68, 55, 11
68, 5, 1

∴ So the LCM of the given numbers is 2 x 11 x 11 x 68 x 5 x 1 = 82280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82280

Therefore, the GCF of Fractions 92/136,95/605,507/242 is 1/82280

Least Common Multiple of 136,605,242 with GCF Formula

Least Common Multiple of 136,605,242 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 136,605,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,605,242) = 1

common factors(in case of two or more numbers have common factors) = 242

GCF(136,605,242) x common factors =1 x 242 = 242

LCM(136,605,242) = ( 136 × 605 × 242 ) / 242

LCM(136,605,242) = 19911760 / 242

LCM(136,605,242) = 82280


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 92/136, 95/605, 507/242

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 92/136, 95/605, 507/242?

Answer: GCF of Numerators as per given numbers 92/136, 95/605, 507/242 is

GCF of Numerators i.e. for 92,95,507 is 1

LCM of denominators i.e. for 136,605,242 is 82280.

Thus, GCF of Fractions is 1/82280.Finally, GCF of Fractions for 92/136, 95/605, 507/242 is 1/82280.