Greatest Common Factor of 5215/678, 5537/9660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5215/678, 5537/9660

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 5215/678,5537/9660

Given fractions are 5215/678,5537/9660

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 5215,5537

Greatest Common Factor of Numerators i.e. GCF of 5215,5537 is 7 .

LCM of Denominators means LCM of 678,9660 as per the given fractions.

LCM of 678,9660 is 1091580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5215,5537

GCF of Fractions 5215/678,5537/9660 is 7/1091580

7 5215, 5537
745, 791

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5215,5537 By Matching Biggest Common Factor Method

Greatest Common Factor of 5215,5537 By Matching Biggest Common Factor Method

Factors of 5215

List of positive integer factors of 5215 that divides 5215 without a remainder.

1,5,7,35,149,745,1043,5215

Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1,7,49,113,791,5537

Greatest Common Factor

We found the factors 5215,5537 . The biggest common factor number is the GCF number.
So the greatest common factor 5215,5537 is 7.

Lets's calculate LCM of 678,9660

2 678, 9660
3 339, 4830
113, 1610

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1610 = 1091580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1091580

Therefore, the GCF of Fractions 5215/678,5537/9660 is 7/1091580

Least Common Multiple of 678,9660 with GCF Formula

Least Common Multiple of 678,9660 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 678,9660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,9660) = 6

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

GCF(678,9660) x common factors =6 x 1 = 6

LCM(678,9660) = ( 678 × 9660 ) / 6

LCM(678,9660) = 6549480 / 6

LCM(678,9660) = 1091580


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 5215/678, 5537/9660

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 5215/678, 5537/9660?

Answer: GCF of Numerators as per given numbers 5215/678, 5537/9660 is

GCF of Numerators i.e. for 5215,5537 is 7

LCM of denominators i.e. for 678,9660 is 1091580.

Thus, GCF of Fractions is 7/1091580.Finally, GCF of Fractions for 5215/678, 5537/9660 is 7/1091580.