Greatest Common Factor of 9549/542, 7190/5520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9549/542, 7190/5520

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 9549/542,7190/5520

Given fractions are 9549/542,7190/5520

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 9549,7190

Greatest Common Factor of Numerators i.e. GCF of 9549,7190 is 1 .

LCM of Denominators means LCM of 542,5520 as per the given fractions.

LCM of 542,5520 is 1495920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9549,7190

GCF of Fractions 9549/542,7190/5520 is 1/1495920

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

Greatest Common Factor of 9549,7190 By Matching Biggest Common Factor Method

Greatest Common Factor of 9549,7190 By Matching Biggest Common Factor Method

Factors of 9549

List of positive integer factors of 9549 that divides 9549 without a remainder.

1,3,9,1061,3183,9549

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1,2,5,10,719,1438,3595,7190

Greatest Common Factor

We found the factors 9549,7190 . The biggest common factor number is the GCF number.
So the greatest common factor 9549,7190 is 1.

Lets's calculate LCM of 542,5520

2 542, 5520
271, 2760

∴ So the LCM of the given numbers is 2 x 271 x 2760 = 1495920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1495920

Therefore, the GCF of Fractions 9549/542,7190/5520 is 1/1495920

Least Common Multiple of 542,5520 with GCF Formula

Least Common Multiple of 542,5520 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 542,5520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,5520) = 2

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

GCF(542,5520) x common factors =2 x 1 = 2

LCM(542,5520) = ( 542 × 5520 ) / 2

LCM(542,5520) = 2991840 / 2

LCM(542,5520) = 1495920


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 9549/542, 7190/5520

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 9549/542, 7190/5520?

Answer: GCF of Numerators as per given numbers 9549/542, 7190/5520 is

GCF of Numerators i.e. for 9549,7190 is 1

LCM of denominators i.e. for 542,5520 is 1495920.

Thus, GCF of Fractions is 1/1495920.Finally, GCF of Fractions for 9549/542, 7190/5520 is 1/1495920.