Greatest Common Factor of 5487/506, 7549/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5487/506, 7549/221

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 5487/506,7549/221

Given fractions are 5487/506,7549/221

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 5487,7549

Greatest Common Factor of Numerators i.e. GCF of 5487,7549 is 1 .

LCM of Denominators means LCM of 506,221 as per the given fractions.

LCM of 506,221 is 111826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5487,7549

GCF of Fractions 5487/506,7549/221 is 1/111826

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

Greatest Common Factor of 5487,7549 By Matching Biggest Common Factor Method

Greatest Common Factor of 5487,7549 By Matching Biggest Common Factor Method

Factors of 5487

List of positive integer factors of 5487 that divides 5487 without a remainder.

1,3,31,59,93,177,1829,5487

Factors of 7549

List of positive integer factors of 7549 that divides 7549 without a remainder.

1,7549

Greatest Common Factor

We found the factors 5487,7549 . The biggest common factor number is the GCF number.
So the greatest common factor 5487,7549 is 1.

Lets's calculate LCM of 506,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 111826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111826

Therefore, the GCF of Fractions 5487/506,7549/221 is 1/111826

Least Common Multiple of 506,221 with GCF Formula

Least Common Multiple of 506,221 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 506,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,221) = 1

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

GCF(506,221) x common factors =1 x 1 = 1

LCM(506,221) = ( 506 × 221 ) / 1

LCM(506,221) = 111826 / 1

LCM(506,221) = 111826


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 5487/506, 7549/221

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 5487/506, 7549/221?

Answer: GCF of Numerators as per given numbers 5487/506, 7549/221 is

GCF of Numerators i.e. for 5487,7549 is 1

LCM of denominators i.e. for 506,221 is 111826.

Thus, GCF of Fractions is 1/111826.Finally, GCF of Fractions for 5487/506, 7549/221 is 1/111826.