Greatest Common Factor of 8552/447, 2564/5554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8552/447, 2564/5554

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 8552/447,2564/5554

Given fractions are 8552/447,2564/5554

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 8552,2564

Greatest Common Factor of Numerators i.e. GCF of 8552,2564 is 4 .

LCM of Denominators means LCM of 447,5554 as per the given fractions.

LCM of 447,5554 is 2482638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8552,2564

GCF of Fractions 8552/447,2564/5554 is 4/2482638

2 8552, 2564
2 4276, 1282
2138, 641

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8552,2564 By Matching Biggest Common Factor Method

Greatest Common Factor of 8552,2564 By Matching Biggest Common Factor Method

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1,2,4,8,1069,2138,4276,8552

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1,2,4,641,1282,2564

Greatest Common Factor

We found the factors 8552,2564 . The biggest common factor number is the GCF number.
So the greatest common factor 8552,2564 is 4.

Lets's calculate LCM of 447,5554

Given numbers has no common factors except 1. So, there LCM is their product i.e 2482638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2482638

Therefore, the GCF of Fractions 8552/447,2564/5554 is 4/2482638

Least Common Multiple of 447,5554 with GCF Formula

Least Common Multiple of 447,5554 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 447,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,5554) = 1

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

GCF(447,5554) x common factors =1 x 1 = 1

LCM(447,5554) = ( 447 × 5554 ) / 1

LCM(447,5554) = 2482638 / 1

LCM(447,5554) = 2482638


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 8552/447, 2564/5554

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 8552/447, 2564/5554?

Answer: GCF of Numerators as per given numbers 8552/447, 2564/5554 is

GCF of Numerators i.e. for 8552,2564 is 4

LCM of denominators i.e. for 447,5554 is 2482638.

Thus, GCF of Fractions is 4/2482638.Finally, GCF of Fractions for 8552/447, 2564/5554 is 4/2482638.