Greatest Common Factor of 1249/756, 5190/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1249/756, 5190/545

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 1249/756,5190/545

Given fractions are 1249/756,5190/545

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 1249,5190

Greatest Common Factor of Numerators i.e. GCF of 1249,5190 is 1 .

LCM of Denominators means LCM of 756,545 as per the given fractions.

LCM of 756,545 is 412020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1249,5190

GCF of Fractions 1249/756,5190/545 is 1/412020

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

Greatest Common Factor of 1249,5190 By Matching Biggest Common Factor Method

Greatest Common Factor of 1249,5190 By Matching Biggest Common Factor Method

Factors of 1249

List of positive integer factors of 1249 that divides 1249 without a remainder.

1,1249

Factors of 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190

Greatest Common Factor

We found the factors 1249,5190 . The biggest common factor number is the GCF number.
So the greatest common factor 1249,5190 is 1.

Lets's calculate LCM of 756,545

Given numbers has no common factors except 1. So, there LCM is their product i.e 412020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412020

Therefore, the GCF of Fractions 1249/756,5190/545 is 1/412020

Least Common Multiple of 756,545 with GCF Formula

Least Common Multiple of 756,545 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 756,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,545) = 1

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

GCF(756,545) x common factors =1 x 1 = 1

LCM(756,545) = ( 756 × 545 ) / 1

LCM(756,545) = 412020 / 1

LCM(756,545) = 412020


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 1249/756, 5190/545

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 1249/756, 5190/545?

Answer: GCF of Numerators as per given numbers 1249/756, 5190/545 is

GCF of Numerators i.e. for 1249,5190 is 1

LCM of denominators i.e. for 756,545 is 412020.

Thus, GCF of Fractions is 1/412020.Finally, GCF of Fractions for 1249/756, 5190/545 is 1/412020.