Greatest Common Factor of 649/780, 318/287, 539/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/780, 318/287, 539/665

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 649/780,318/287,539/665

Given fractions are 649/780,318/287,539/665

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 649,318,539

Greatest Common Factor of Numerators i.e. GCF of 649,318,539 is 1 .

LCM of Denominators means LCM of 780,287,665 as per the given fractions.

LCM of 780,287,665 is 4253340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,318,539

GCF of Fractions 649/780,318/287,539/665 is 1/4253340

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

Greatest Common Factor of 649,318,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,318,539 By Matching Biggest Common Factor Method

Factors of 649

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

1,11,59,649

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 649,318,539 . The biggest common factor number is the GCF number.
So the greatest common factor 649,318,539 is 1.

Lets's calculate LCM of 780,287,665

5 780, 287, 665
7 156, 287, 133
156, 41, 19

∴ So the LCM of the given numbers is 5 x 7 x 156 x 41 x 19 = 4253340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4253340

Therefore, the GCF of Fractions 649/780,318/287,539/665 is 1/4253340

Least Common Multiple of 780,287,665 with GCF Formula

Least Common Multiple of 780,287,665 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 780,287,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,287,665) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(780,287,665) x common factors =1 x 35 = 35

LCM(780,287,665) = ( 780 × 287 × 665 ) / 35

LCM(780,287,665) = 148866900 / 35

LCM(780,287,665) = 4253340


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 649/780, 318/287, 539/665

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 649/780, 318/287, 539/665?

Answer: GCF of Numerators as per given numbers 649/780, 318/287, 539/665 is

GCF of Numerators i.e. for 649,318,539 is 1

LCM of denominators i.e. for 780,287,665 is 4253340.

Thus, GCF of Fractions is 1/4253340.Finally, GCF of Fractions for 649/780, 318/287, 539/665 is 1/4253340.