Greatest Common Factor of 7215/58, 1236/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7215/58, 1236/380

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 7215/58,1236/380

Given fractions are 7215/58,1236/380

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 7215,1236

Greatest Common Factor of Numerators i.e. GCF of 7215,1236 is 3 .

LCM of Denominators means LCM of 58,380 as per the given fractions.

LCM of 58,380 is 11020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7215,1236

GCF of Fractions 7215/58,1236/380 is 3/11020

3 7215, 1236
2405, 412

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7215,1236 By Matching Biggest Common Factor Method

Greatest Common Factor of 7215,1236 By Matching Biggest Common Factor Method

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Factors of 1236

List of positive integer factors of 1236 that divides 1236 without a remainder.

1,2,3,4,6,12,103,206,309,412,618,1236

Greatest Common Factor

We found the factors 7215,1236 . The biggest common factor number is the GCF number.
So the greatest common factor 7215,1236 is 3.

Lets's calculate LCM of 58,380

2 58, 380
29, 190

∴ So the LCM of the given numbers is 2 x 29 x 190 = 11020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11020

Therefore, the GCF of Fractions 7215/58,1236/380 is 3/11020

Least Common Multiple of 58,380 with GCF Formula

Least Common Multiple of 58,380 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 58,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,380) = 2

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

GCF(58,380) x common factors =2 x 1 = 2

LCM(58,380) = ( 58 × 380 ) / 2

LCM(58,380) = 22040 / 2

LCM(58,380) = 11020


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 7215/58, 1236/380

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 7215/58, 1236/380?

Answer: GCF of Numerators as per given numbers 7215/58, 1236/380 is

GCF of Numerators i.e. for 7215,1236 is 3

LCM of denominators i.e. for 58,380 is 11020.

Thus, GCF of Fractions is 3/11020.Finally, GCF of Fractions for 7215/58, 1236/380 is 3/11020.