Greatest Common Factor of 919/916, 871/472, 434/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 919/916, 871/472, 434/638

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 919/916,871/472,434/638

Given fractions are 919/916,871/472,434/638

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 919,871,434

Greatest Common Factor of Numerators i.e. GCF of 919,871,434 is 1 .

LCM of Denominators means LCM of 916,472,638 as per the given fractions.

LCM of 916,472,638 is 34480072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 919,871,434

GCF of Fractions 919/916,871/472,434/638 is 1/34480072

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

Greatest Common Factor of 919,871,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,871,434 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 919,871,434 . The biggest common factor number is the GCF number.
So the greatest common factor 919,871,434 is 1.

Lets's calculate LCM of 916,472,638

2 916, 472, 638
2 458, 236, 319
229, 118, 319

∴ So the LCM of the given numbers is 2 x 2 x 229 x 118 x 319 = 34480072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34480072

Therefore, the GCF of Fractions 919/916,871/472,434/638 is 1/34480072

Least Common Multiple of 916,472,638 with GCF Formula

Least Common Multiple of 916,472,638 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 916,472,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,472,638) = 2

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

GCF(916,472,638) x common factors =2 x 4 = 8

LCM(916,472,638) = ( 916 × 472 × 638 ) / 8

LCM(916,472,638) = 275840576 / 8

LCM(916,472,638) = 34480072


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 919/916, 871/472, 434/638

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 919/916, 871/472, 434/638?

Answer: GCF of Numerators as per given numbers 919/916, 871/472, 434/638 is

GCF of Numerators i.e. for 919,871,434 is 1

LCM of denominators i.e. for 916,472,638 is 34480072.

Thus, GCF of Fractions is 1/34480072.Finally, GCF of Fractions for 919/916, 871/472, 434/638 is 1/34480072.