Greatest Common Factor of 249/12, 655/59, 548/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 249/12, 655/59, 548/50

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 249/12,655/59,548/50

Given fractions are 249/12,655/59,548/50

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 249,655,548

Greatest Common Factor of Numerators i.e. GCF of 249,655,548 is 1 .

LCM of Denominators means LCM of 12,59,50 as per the given fractions.

LCM of 12,59,50 is 17700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 249,655,548

GCF of Fractions 249/12,655/59,548/50 is 1/17700

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

Greatest Common Factor of 249,655,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,655,548 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 249,655,548 . The biggest common factor number is the GCF number.
So the greatest common factor 249,655,548 is 1.

Lets's calculate LCM of 12,59,50

2 12, 59, 50
6, 59, 25

∴ So the LCM of the given numbers is 2 x 6 x 59 x 25 = 17700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17700

Therefore, the GCF of Fractions 249/12,655/59,548/50 is 1/17700

Least Common Multiple of 12,59,50 with GCF Formula

Least Common Multiple of 12,59,50 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 12,59,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,59,50) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,59,50) x common factors =1 x 2 = 2

LCM(12,59,50) = ( 12 × 59 × 50 ) / 2

LCM(12,59,50) = 35400 / 2

LCM(12,59,50) = 17700


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 249/12, 655/59, 548/50

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 249/12, 655/59, 548/50?

Answer: GCF of Numerators as per given numbers 249/12, 655/59, 548/50 is

GCF of Numerators i.e. for 249,655,548 is 1

LCM of denominators i.e. for 12,59,50 is 17700.

Thus, GCF of Fractions is 1/17700.Finally, GCF of Fractions for 249/12, 655/59, 548/50 is 1/17700.