Greatest Common Factor of 626/84, 413/72, 132/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/84, 413/72, 132/349

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 626/84,413/72,132/349

Given fractions are 626/84,413/72,132/349

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 626,413,132

Greatest Common Factor of Numerators i.e. GCF of 626,413,132 is 1 .

LCM of Denominators means LCM of 84,72,349 as per the given fractions.

LCM of 84,72,349 is 175896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,413,132

GCF of Fractions 626/84,413/72,132/349 is 1/175896

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

Greatest Common Factor of 626,413,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,413,132 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 626,413,132 . The biggest common factor number is the GCF number.
So the greatest common factor 626,413,132 is 1.

Lets's calculate LCM of 84,72,349

2 84, 72, 349
2 42, 36, 349
3 21, 18, 349
7, 6, 349

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 6 x 349 = 175896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175896

Therefore, the GCF of Fractions 626/84,413/72,132/349 is 1/175896

Least Common Multiple of 84,72,349 with GCF Formula

Least Common Multiple of 84,72,349 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 84,72,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,72,349) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,72,349) x common factors =1 x 12 = 12

LCM(84,72,349) = ( 84 × 72 × 349 ) / 12

LCM(84,72,349) = 2110752 / 12

LCM(84,72,349) = 175896


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 626/84, 413/72, 132/349

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 626/84, 413/72, 132/349?

Answer: GCF of Numerators as per given numbers 626/84, 413/72, 132/349 is

GCF of Numerators i.e. for 626,413,132 is 1

LCM of denominators i.e. for 84,72,349 is 175896.

Thus, GCF of Fractions is 1/175896.Finally, GCF of Fractions for 626/84, 413/72, 132/349 is 1/175896.