Greatest Common Factor of 5529/493, 7716/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5529/493, 7716/228

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 5529/493,7716/228

Given fractions are 5529/493,7716/228

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 5529,7716

Greatest Common Factor of Numerators i.e. GCF of 5529,7716 is 3 .

LCM of Denominators means LCM of 493,228 as per the given fractions.

LCM of 493,228 is 112404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5529,7716

GCF of Fractions 5529/493,7716/228 is 3/112404

3 5529, 7716
1843, 2572

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5529,7716 By Matching Biggest Common Factor Method

Greatest Common Factor of 5529,7716 By Matching Biggest Common Factor Method

Factors of 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Greatest Common Factor

We found the factors 5529,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 5529,7716 is 3.

Lets's calculate LCM of 493,228

Given numbers has no common factors except 1. So, there LCM is their product i.e 112404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/112404

Therefore, the GCF of Fractions 5529/493,7716/228 is 3/112404

Least Common Multiple of 493,228 with GCF Formula

Least Common Multiple of 493,228 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 493,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,228) = 1

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

GCF(493,228) x common factors =1 x 1 = 1

LCM(493,228) = ( 493 × 228 ) / 1

LCM(493,228) = 112404 / 1

LCM(493,228) = 112404


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 5529/493, 7716/228

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 5529/493, 7716/228?

Answer: GCF of Numerators as per given numbers 5529/493, 7716/228 is

GCF of Numerators i.e. for 5529,7716 is 3

LCM of denominators i.e. for 493,228 is 112404.

Thus, GCF of Fractions is 3/112404.Finally, GCF of Fractions for 5529/493, 7716/228 is 3/112404.