Greatest Common Factor of 220/27, 852/5864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/27, 852/5864

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 220/27,852/5864

Given fractions are 220/27,852/5864

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 220,852

Greatest Common Factor of Numerators i.e. GCF of 220,852 is 4 .

LCM of Denominators means LCM of 27,5864 as per the given fractions.

LCM of 27,5864 is 158328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,852

GCF of Fractions 220/27,852/5864 is 4/158328

2 220, 852
2 110, 426
55, 213

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

Greatest Common Factor of 220,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,852 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 220,852 . The biggest common factor number is the GCF number.
So the greatest common factor 220,852 is 4.

Lets's calculate LCM of 27,5864

Given numbers has no common factors except 1. So, there LCM is their product i.e 158328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/158328

Therefore, the GCF of Fractions 220/27,852/5864 is 4/158328

Least Common Multiple of 27,5864 with GCF Formula

Least Common Multiple of 27,5864 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 27,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,5864) = 1

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

GCF(27,5864) x common factors =1 x 1 = 1

LCM(27,5864) = ( 27 × 5864 ) / 1

LCM(27,5864) = 158328 / 1

LCM(27,5864) = 158328


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 220/27, 852/5864

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 220/27, 852/5864?

Answer: GCF of Numerators as per given numbers 220/27, 852/5864 is

GCF of Numerators i.e. for 220,852 is 4

LCM of denominators i.e. for 27,5864 is 158328.

Thus, GCF of Fractions is 4/158328.Finally, GCF of Fractions for 220/27, 852/5864 is 4/158328.