Greatest Common Factor of 5249/958, 9545/9629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5249/958, 9545/9629

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 5249/958,9545/9629

Given fractions are 5249/958,9545/9629

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 5249,9545

Greatest Common Factor of Numerators i.e. GCF of 5249,9545 is 1 .

LCM of Denominators means LCM of 958,9629 as per the given fractions.

LCM of 958,9629 is 9224582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5249,9545

GCF of Fractions 5249/958,9545/9629 is 1/9224582

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

Greatest Common Factor of 5249,9545 By Matching Biggest Common Factor Method

Greatest Common Factor of 5249,9545 By Matching Biggest Common Factor Method

Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1,29,181,5249

Factors of 9545

List of positive integer factors of 9545 that divides 9545 without a remainder.

1,5,23,83,115,415,1909,9545

Greatest Common Factor

We found the factors 5249,9545 . The biggest common factor number is the GCF number.
So the greatest common factor 5249,9545 is 1.

Lets's calculate LCM of 958,9629

Given numbers has no common factors except 1. So, there LCM is their product i.e 9224582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9224582

Therefore, the GCF of Fractions 5249/958,9545/9629 is 1/9224582

Least Common Multiple of 958,9629 with GCF Formula

Least Common Multiple of 958,9629 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 958,9629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,9629) = 1

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

GCF(958,9629) x common factors =1 x 1 = 1

LCM(958,9629) = ( 958 × 9629 ) / 1

LCM(958,9629) = 9224582 / 1

LCM(958,9629) = 9224582


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 5249/958, 9545/9629

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 5249/958, 9545/9629?

Answer: GCF of Numerators as per given numbers 5249/958, 9545/9629 is

GCF of Numerators i.e. for 5249,9545 is 1

LCM of denominators i.e. for 958,9629 is 9224582.

Thus, GCF of Fractions is 1/9224582.Finally, GCF of Fractions for 5249/958, 9545/9629 is 1/9224582.