Greatest Common Factor of 5582/564, 6690/9414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5582/564, 6690/9414

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 5582/564,6690/9414

Given fractions are 5582/564,6690/9414

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 5582,6690

Greatest Common Factor of Numerators i.e. GCF of 5582,6690 is 2 .

LCM of Denominators means LCM of 564,9414 as per the given fractions.

LCM of 564,9414 is 884916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5582,6690

GCF of Fractions 5582/564,6690/9414 is 2/884916

2 5582, 6690
2791, 3345

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5582,6690 By Matching Biggest Common Factor Method

Greatest Common Factor of 5582,6690 By Matching Biggest Common Factor Method

Factors of 5582

List of positive integer factors of 5582 that divides 5582 without a remainder.

1,2,2791,5582

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690

Greatest Common Factor

We found the factors 5582,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 5582,6690 is 2.

Lets's calculate LCM of 564,9414

2 564, 9414
3 282, 4707
94, 1569

∴ So the LCM of the given numbers is 2 x 3 x 94 x 1569 = 884916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/884916

Therefore, the GCF of Fractions 5582/564,6690/9414 is 2/884916

Least Common Multiple of 564,9414 with GCF Formula

Least Common Multiple of 564,9414 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 564,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,9414) = 6

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

GCF(564,9414) x common factors =6 x 1 = 6

LCM(564,9414) = ( 564 × 9414 ) / 6

LCM(564,9414) = 5309496 / 6

LCM(564,9414) = 884916


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 5582/564, 6690/9414

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 5582/564, 6690/9414?

Answer: GCF of Numerators as per given numbers 5582/564, 6690/9414 is

GCF of Numerators i.e. for 5582,6690 is 2

LCM of denominators i.e. for 564,9414 is 884916.

Thus, GCF of Fractions is 2/884916.Finally, GCF of Fractions for 5582/564, 6690/9414 is 2/884916.