Greatest Common Factor of 535/661, 210/369, 767/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/661, 210/369, 767/649

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 535/661,210/369,767/649

Given fractions are 535/661,210/369,767/649

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 535,210,767

Greatest Common Factor of Numerators i.e. GCF of 535,210,767 is 1 .

LCM of Denominators means LCM of 661,369,649 as per the given fractions.

LCM of 661,369,649 is 158296941 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,210,767

GCF of Fractions 535/661,210/369,767/649 is 1/158296941

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

Greatest Common Factor of 535,210,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,210,767 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 535,210,767 . The biggest common factor number is the GCF number.
So the greatest common factor 535,210,767 is 1.

Lets's calculate LCM of 661,369,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 158296941

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158296941

Therefore, the GCF of Fractions 535/661,210/369,767/649 is 1/158296941

Least Common Multiple of 661,369,649 with GCF Formula

Least Common Multiple of 661,369,649 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 661,369,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,369,649) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(661,369,649) x common factors =1 x 1 = 1

LCM(661,369,649) = ( 661 × 369 × 649 ) / 1

LCM(661,369,649) = 158296941 / 1

LCM(661,369,649) = 158296941


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 535/661, 210/369, 767/649

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 535/661, 210/369, 767/649?

Answer: GCF of Numerators as per given numbers 535/661, 210/369, 767/649 is

GCF of Numerators i.e. for 535,210,767 is 1

LCM of denominators i.e. for 661,369,649 is 158296941.

Thus, GCF of Fractions is 1/158296941.Finally, GCF of Fractions for 535/661, 210/369, 767/649 is 1/158296941.