Greatest Common Factor of 5667/224, 4944/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5667/224, 4944/289

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 5667/224,4944/289

Given fractions are 5667/224,4944/289

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 5667,4944

Greatest Common Factor of Numerators i.e. GCF of 5667,4944 is 3 .

LCM of Denominators means LCM of 224,289 as per the given fractions.

LCM of 224,289 is 64736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5667,4944

GCF of Fractions 5667/224,4944/289 is 3/64736

3 5667, 4944
1889, 1648

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

Greatest Common Factor of 5667,4944 By Matching Biggest Common Factor Method

Greatest Common Factor of 5667,4944 By Matching Biggest Common Factor Method

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1,3,1889,5667

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Greatest Common Factor

We found the factors 5667,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 5667,4944 is 3.

Lets's calculate LCM of 224,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 64736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64736

Therefore, the GCF of Fractions 5667/224,4944/289 is 3/64736

Least Common Multiple of 224,289 with GCF Formula

Least Common Multiple of 224,289 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 224,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,289) = 1

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

GCF(224,289) x common factors =1 x 1 = 1

LCM(224,289) = ( 224 × 289 ) / 1

LCM(224,289) = 64736 / 1

LCM(224,289) = 64736


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 5667/224, 4944/289

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 5667/224, 4944/289?

Answer: GCF of Numerators as per given numbers 5667/224, 4944/289 is

GCF of Numerators i.e. for 5667,4944 is 3

LCM of denominators i.e. for 224,289 is 64736.

Thus, GCF of Fractions is 3/64736.Finally, GCF of Fractions for 5667/224, 4944/289 is 3/64736.