Greatest Common Factor of 29/772, 349/719, 102/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/772, 349/719, 102/128

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 29/772,349/719,102/128

Given fractions are 29/772,349/719,102/128

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 29,349,102

Greatest Common Factor of Numerators i.e. GCF of 29,349,102 is 1 .

LCM of Denominators means LCM of 772,719,128 as per the given fractions.

LCM of 772,719,128 is 17762176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,349,102

GCF of Fractions 29/772,349/719,102/128 is 1/17762176

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

Greatest Common Factor of 29,349,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,349,102 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 29,349,102 . The biggest common factor number is the GCF number.
So the greatest common factor 29,349,102 is 1.

Lets's calculate LCM of 772,719,128

2 772, 719, 128
2 386, 719, 64
193, 719, 32

∴ So the LCM of the given numbers is 2 x 2 x 193 x 719 x 32 = 17762176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17762176

Therefore, the GCF of Fractions 29/772,349/719,102/128 is 1/17762176

Least Common Multiple of 772,719,128 with GCF Formula

Least Common Multiple of 772,719,128 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 772,719,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,719,128) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(772,719,128) x common factors =1 x 4 = 4

LCM(772,719,128) = ( 772 × 719 × 128 ) / 4

LCM(772,719,128) = 71048704 / 4

LCM(772,719,128) = 17762176


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 29/772, 349/719, 102/128

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 29/772, 349/719, 102/128?

Answer: GCF of Numerators as per given numbers 29/772, 349/719, 102/128 is

GCF of Numerators i.e. for 29,349,102 is 1

LCM of denominators i.e. for 772,719,128 is 17762176.

Thus, GCF of Fractions is 1/17762176.Finally, GCF of Fractions for 29/772, 349/719, 102/128 is 1/17762176.