Greatest Common Factor of 169/764, 129/936, 115/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/764, 129/936, 115/225

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 169/764,129/936,115/225

Given fractions are 169/764,129/936,115/225

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 169,129,115

Greatest Common Factor of Numerators i.e. GCF of 169,129,115 is 1 .

LCM of Denominators means LCM of 764,936,225 as per the given fractions.

LCM of 764,936,225 is 4469400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,129,115

GCF of Fractions 169/764,129/936,115/225 is 1/4469400

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

Greatest Common Factor of 169,129,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,129,115 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 169,129,115 . The biggest common factor number is the GCF number.
So the greatest common factor 169,129,115 is 1.

Lets's calculate LCM of 764,936,225

2 764, 936, 225
2 382, 468, 225
3 191, 234, 225
3 191, 78, 75
191, 26, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 191 x 26 x 25 = 4469400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4469400

Therefore, the GCF of Fractions 169/764,129/936,115/225 is 1/4469400

Least Common Multiple of 764,936,225 with GCF Formula

Least Common Multiple of 764,936,225 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 764,936,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,936,225) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(764,936,225) x common factors =1 x 36 = 36

LCM(764,936,225) = ( 764 × 936 × 225 ) / 36

LCM(764,936,225) = 160898400 / 36

LCM(764,936,225) = 4469400


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 169/764, 129/936, 115/225

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 169/764, 129/936, 115/225?

Answer: GCF of Numerators as per given numbers 169/764, 129/936, 115/225 is

GCF of Numerators i.e. for 169,129,115 is 1

LCM of denominators i.e. for 764,936,225 is 4469400.

Thus, GCF of Fractions is 1/4469400.Finally, GCF of Fractions for 169/764, 129/936, 115/225 is 1/4469400.