Greatest Common Factor of 910/52, 814/34, 629/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/52, 814/34, 629/544

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 910/52,814/34,629/544

Given fractions are 910/52,814/34,629/544

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 910,814,629

Greatest Common Factor of Numerators i.e. GCF of 910,814,629 is 1 .

LCM of Denominators means LCM of 52,34,544 as per the given fractions.

LCM of 52,34,544 is 7072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,814,629

GCF of Fractions 910/52,814/34,629/544 is 1/7072

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

Greatest Common Factor of 910,814,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,814,629 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 910,814,629 . The biggest common factor number is the GCF number.
So the greatest common factor 910,814,629 is 1.

Lets's calculate LCM of 52,34,544

2 52, 34, 544
2 26, 17, 272
17 13, 17, 136
13, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 1 x 8 = 7072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7072

Therefore, the GCF of Fractions 910/52,814/34,629/544 is 1/7072

Least Common Multiple of 52,34,544 with GCF Formula

Least Common Multiple of 52,34,544 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 52,34,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,34,544) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(52,34,544) x common factors =2 x 68 = 136

LCM(52,34,544) = ( 52 × 34 × 544 ) / 136

LCM(52,34,544) = 961792 / 136

LCM(52,34,544) = 7072


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 910/52, 814/34, 629/544

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 910/52, 814/34, 629/544?

Answer: GCF of Numerators as per given numbers 910/52, 814/34, 629/544 is

GCF of Numerators i.e. for 910,814,629 is 1

LCM of denominators i.e. for 52,34,544 is 7072.

Thus, GCF of Fractions is 1/7072.Finally, GCF of Fractions for 910/52, 814/34, 629/544 is 1/7072.