Greatest Common Factor of 107/46, 519/12, 786/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/46, 519/12, 786/518

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 107/46,519/12,786/518

Given fractions are 107/46,519/12,786/518

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 107,519,786

Greatest Common Factor of Numerators i.e. GCF of 107,519,786 is 1 .

LCM of Denominators means LCM of 46,12,518 as per the given fractions.

LCM of 46,12,518 is 71484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,519,786

GCF of Fractions 107/46,519/12,786/518 is 1/71484

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

Greatest Common Factor of 107,519,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,519,786 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 107,519,786 . The biggest common factor number is the GCF number.
So the greatest common factor 107,519,786 is 1.

Lets's calculate LCM of 46,12,518

2 46, 12, 518
23, 6, 259

∴ So the LCM of the given numbers is 2 x 23 x 6 x 259 = 71484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71484

Therefore, the GCF of Fractions 107/46,519/12,786/518 is 1/71484

Least Common Multiple of 46,12,518 with GCF Formula

Least Common Multiple of 46,12,518 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 46,12,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,12,518) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(46,12,518) x common factors =2 x 2 = 4

LCM(46,12,518) = ( 46 × 12 × 518 ) / 4

LCM(46,12,518) = 285936 / 4

LCM(46,12,518) = 71484


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 107/46, 519/12, 786/518

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 107/46, 519/12, 786/518?

Answer: GCF of Numerators as per given numbers 107/46, 519/12, 786/518 is

GCF of Numerators i.e. for 107,519,786 is 1

LCM of denominators i.e. for 46,12,518 is 71484.

Thus, GCF of Fractions is 1/71484.Finally, GCF of Fractions for 107/46, 519/12, 786/518 is 1/71484.