Greatest Common Factor of 448/215, 7221/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/215, 7221/748

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 448/215,7221/748

Given fractions are 448/215,7221/748

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 448,7221

Greatest Common Factor of Numerators i.e. GCF of 448,7221 is 1 .

LCM of Denominators means LCM of 215,748 as per the given fractions.

LCM of 215,748 is 160820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,7221

GCF of Fractions 448/215,7221/748 is 1/160820

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 448,7221 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,7221 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1,3,29,83,87,249,2407,7221

Greatest Common Factor

We found the factors 448,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 448,7221 is 1.

Lets's calculate LCM of 215,748

Given numbers has no common factors except 1. So, there LCM is their product i.e 160820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160820

Therefore, the GCF of Fractions 448/215,7221/748 is 1/160820

Least Common Multiple of 215,748 with GCF Formula

Least Common Multiple of 215,748 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 215,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,748) = 1

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

GCF(215,748) x common factors =1 x 1 = 1

LCM(215,748) = ( 215 × 748 ) / 1

LCM(215,748) = 160820 / 1

LCM(215,748) = 160820


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 448/215, 7221/748

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 448/215, 7221/748?

Answer: GCF of Numerators as per given numbers 448/215, 7221/748 is

GCF of Numerators i.e. for 448,7221 is 1

LCM of denominators i.e. for 215,748 is 160820.

Thus, GCF of Fractions is 1/160820.Finally, GCF of Fractions for 448/215, 7221/748 is 1/160820.