Greatest Common Factor of 929/686, 513/410, 649/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/686, 513/410, 649/780

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 929/686,513/410,649/780

Given fractions are 929/686,513/410,649/780

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 929,513,649

Greatest Common Factor of Numerators i.e. GCF of 929,513,649 is 1 .

LCM of Denominators means LCM of 686,410,780 as per the given fractions.

LCM of 686,410,780 is 10969140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,513,649

GCF of Fractions 929/686,513/410,649/780 is 1/10969140

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

Greatest Common Factor of 929,513,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,513,649 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 929,513,649 . The biggest common factor number is the GCF number.
So the greatest common factor 929,513,649 is 1.

Lets's calculate LCM of 686,410,780

2 686, 410, 780
5 343, 205, 390
343, 41, 78

∴ So the LCM of the given numbers is 2 x 5 x 343 x 41 x 78 = 10969140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10969140

Therefore, the GCF of Fractions 929/686,513/410,649/780 is 1/10969140

Least Common Multiple of 686,410,780 with GCF Formula

Least Common Multiple of 686,410,780 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 686,410,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,410,780) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(686,410,780) x common factors =2 x 10 = 20

LCM(686,410,780) = ( 686 × 410 × 780 ) / 20

LCM(686,410,780) = 219382800 / 20

LCM(686,410,780) = 10969140


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 929/686, 513/410, 649/780

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 929/686, 513/410, 649/780?

Answer: GCF of Numerators as per given numbers 929/686, 513/410, 649/780 is

GCF of Numerators i.e. for 929,513,649 is 1

LCM of denominators i.e. for 686,410,780 is 10969140.

Thus, GCF of Fractions is 1/10969140.Finally, GCF of Fractions for 929/686, 513/410, 649/780 is 1/10969140.