Greatest Common Factor of 1219/54, 8522/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1219/54, 8522/908

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 1219/54,8522/908

Given fractions are 1219/54,8522/908

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 1219,8522

Greatest Common Factor of Numerators i.e. GCF of 1219,8522 is 1 .

LCM of Denominators means LCM of 54,908 as per the given fractions.

LCM of 54,908 is 24516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1219,8522

GCF of Fractions 1219/54,8522/908 is 1/24516

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

Greatest Common Factor of 1219,8522 By Matching Biggest Common Factor Method

Greatest Common Factor of 1219,8522 By Matching Biggest Common Factor Method

Factors of 1219

List of positive integer factors of 1219 that divides 1219 without a remainder.

1,23,53,1219

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1,2,4261,8522

Greatest Common Factor

We found the factors 1219,8522 . The biggest common factor number is the GCF number.
So the greatest common factor 1219,8522 is 1.

Lets's calculate LCM of 54,908

2 54, 908
27, 454

∴ So the LCM of the given numbers is 2 x 27 x 454 = 24516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24516

Therefore, the GCF of Fractions 1219/54,8522/908 is 1/24516

Least Common Multiple of 54,908 with GCF Formula

Least Common Multiple of 54,908 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 54,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,908) = 2

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

GCF(54,908) x common factors =2 x 1 = 2

LCM(54,908) = ( 54 × 908 ) / 2

LCM(54,908) = 49032 / 2

LCM(54,908) = 24516


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 1219/54, 8522/908

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 1219/54, 8522/908?

Answer: GCF of Numerators as per given numbers 1219/54, 8522/908 is

GCF of Numerators i.e. for 1219,8522 is 1

LCM of denominators i.e. for 54,908 is 24516.

Thus, GCF of Fractions is 1/24516.Finally, GCF of Fractions for 1219/54, 8522/908 is 1/24516.