Greatest Common Factor of 8852/715, 7400/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8852/715, 7400/227

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 8852/715,7400/227

Given fractions are 8852/715,7400/227

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 8852,7400

Greatest Common Factor of Numerators i.e. GCF of 8852,7400 is 4 .

LCM of Denominators means LCM of 715,227 as per the given fractions.

LCM of 715,227 is 162305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8852,7400

GCF of Fractions 8852/715,7400/227 is 4/162305

2 8852, 7400
2 4426, 3700
2213, 1850

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

Greatest Common Factor of 8852,7400 By Matching Biggest Common Factor Method

Greatest Common Factor of 8852,7400 By Matching Biggest Common Factor Method

Factors of 8852

List of positive integer factors of 8852 that divides 8852 without a remainder.

1,2,4,2213,4426,8852

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors 8852,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 8852,7400 is 4.

Lets's calculate LCM of 715,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 162305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/162305

Therefore, the GCF of Fractions 8852/715,7400/227 is 4/162305

Least Common Multiple of 715,227 with GCF Formula

Least Common Multiple of 715,227 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 715,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,227) = 1

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

GCF(715,227) x common factors =1 x 1 = 1

LCM(715,227) = ( 715 × 227 ) / 1

LCM(715,227) = 162305 / 1

LCM(715,227) = 162305


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 8852/715, 7400/227

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 8852/715, 7400/227?

Answer: GCF of Numerators as per given numbers 8852/715, 7400/227 is

GCF of Numerators i.e. for 8852,7400 is 4

LCM of denominators i.e. for 715,227 is 162305.

Thus, GCF of Fractions is 4/162305.Finally, GCF of Fractions for 8852/715, 7400/227 is 4/162305.