Greatest Common Factor of 1212/219, 5277/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1212/219, 5277/989

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 1212/219,5277/989

Given fractions are 1212/219,5277/989

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 1212,5277

Greatest Common Factor of Numerators i.e. GCF of 1212,5277 is 3 .

LCM of Denominators means LCM of 219,989 as per the given fractions.

LCM of 219,989 is 216591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1212,5277

GCF of Fractions 1212/219,5277/989 is 3/216591

3 1212, 5277
404, 1759

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1212,5277 By Matching Biggest Common Factor Method

Greatest Common Factor of 1212,5277 By Matching Biggest Common Factor Method

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1,2,3,4,6,12,101,202,303,404,606,1212

Factors of 5277

List of positive integer factors of 5277 that divides 5277 without a remainder.

1,3,1759,5277

Greatest Common Factor

We found the factors 1212,5277 . The biggest common factor number is the GCF number.
So the greatest common factor 1212,5277 is 3.

Lets's calculate LCM of 219,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 216591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/216591

Therefore, the GCF of Fractions 1212/219,5277/989 is 3/216591

Least Common Multiple of 219,989 with GCF Formula

Least Common Multiple of 219,989 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 219,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,989) = 1

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

GCF(219,989) x common factors =1 x 1 = 1

LCM(219,989) = ( 219 × 989 ) / 1

LCM(219,989) = 216591 / 1

LCM(219,989) = 216591


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 1212/219, 5277/989

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 1212/219, 5277/989?

Answer: GCF of Numerators as per given numbers 1212/219, 5277/989 is

GCF of Numerators i.e. for 1212,5277 is 3

LCM of denominators i.e. for 219,989 is 216591.

Thus, GCF of Fractions is 3/216591.Finally, GCF of Fractions for 1212/219, 5277/989 is 3/216591.