Greatest Common Factor of 649/89, 676/2640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/89, 676/2640

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 649/89,676/2640

Given fractions are 649/89,676/2640

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 649,676

Greatest Common Factor of Numerators i.e. GCF of 649,676 is 1 .

LCM of Denominators means LCM of 89,2640 as per the given fractions.

LCM of 89,2640 is 234960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,676

GCF of Fractions 649/89,676/2640 is 1/234960

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

Greatest Common Factor of 649,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,676 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 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 649,676 . The biggest common factor number is the GCF number.
So the greatest common factor 649,676 is 1.

Lets's calculate LCM of 89,2640

Given numbers has no common factors except 1. So, there LCM is their product i.e 234960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234960

Therefore, the GCF of Fractions 649/89,676/2640 is 1/234960

Least Common Multiple of 89,2640 with GCF Formula

Least Common Multiple of 89,2640 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 89,2640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,2640) = 1

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

GCF(89,2640) x common factors =1 x 1 = 1

LCM(89,2640) = ( 89 × 2640 ) / 1

LCM(89,2640) = 234960 / 1

LCM(89,2640) = 234960


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 649/89, 676/2640

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 649/89, 676/2640?

Answer: GCF of Numerators as per given numbers 649/89, 676/2640 is

GCF of Numerators i.e. for 649,676 is 1

LCM of denominators i.e. for 89,2640 is 234960.

Thus, GCF of Fractions is 1/234960.Finally, GCF of Fractions for 649/89, 676/2640 is 1/234960.