Greatest Common Factor of 53/73, 76/77, 354/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/73, 76/77, 354/165

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 53/73,76/77,354/165

Given fractions are 53/73,76/77,354/165

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 53,76,354

Greatest Common Factor of Numerators i.e. GCF of 53,76,354 is 1 .

LCM of Denominators means LCM of 73,77,165 as per the given fractions.

LCM of 73,77,165 is 84315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,76,354

GCF of Fractions 53/73,76/77,354/165 is 1/84315

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

Greatest Common Factor of 53,76,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,76,354 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 354

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

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

Greatest Common Factor

We found the factors 53,76,354 . The biggest common factor number is the GCF number.
So the greatest common factor 53,76,354 is 1.

Lets's calculate LCM of 73,77,165

11 73, 77, 165
73, 7, 15

∴ So the LCM of the given numbers is 11 x 73 x 7 x 15 = 84315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84315

Therefore, the GCF of Fractions 53/73,76/77,354/165 is 1/84315

Least Common Multiple of 73,77,165 with GCF Formula

Least Common Multiple of 73,77,165 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 73,77,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,77,165) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(73,77,165) x common factors =1 x 11 = 11

LCM(73,77,165) = ( 73 × 77 × 165 ) / 11

LCM(73,77,165) = 927465 / 11

LCM(73,77,165) = 84315


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 53/73, 76/77, 354/165

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 53/73, 76/77, 354/165?

Answer: GCF of Numerators as per given numbers 53/73, 76/77, 354/165 is

GCF of Numerators i.e. for 53,76,354 is 1

LCM of denominators i.e. for 73,77,165 is 84315.

Thus, GCF of Fractions is 1/84315.Finally, GCF of Fractions for 53/73, 76/77, 354/165 is 1/84315.