Greatest Common Factor of 387/10, 224/15, 410/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 387/10, 224/15, 410/76

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 387/10,224/15,410/76

Given fractions are 387/10,224/15,410/76

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 387,224,410

Greatest Common Factor of Numerators i.e. GCF of 387,224,410 is 1 .

LCM of Denominators means LCM of 10,15,76 as per the given fractions.

LCM of 10,15,76 is 1140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 387,224,410

GCF of Fractions 387/10,224/15,410/76 is 1/1140

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

Greatest Common Factor of 387,224,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,224,410 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

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

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 387,224,410 . The biggest common factor number is the GCF number.
So the greatest common factor 387,224,410 is 1.

Lets's calculate LCM of 10,15,76

2 10, 15, 76
5 5, 15, 38
1, 3, 38

∴ So the LCM of the given numbers is 2 x 5 x 1 x 3 x 38 = 1140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1140

Therefore, the GCF of Fractions 387/10,224/15,410/76 is 1/1140

Least Common Multiple of 10,15,76 with GCF Formula

Least Common Multiple of 10,15,76 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 10,15,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,15,76) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,15,76) x common factors =1 x 10 = 10

LCM(10,15,76) = ( 10 × 15 × 76 ) / 10

LCM(10,15,76) = 11400 / 10

LCM(10,15,76) = 1140


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 387/10, 224/15, 410/76

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 387/10, 224/15, 410/76?

Answer: GCF of Numerators as per given numbers 387/10, 224/15, 410/76 is

GCF of Numerators i.e. for 387,224,410 is 1

LCM of denominators i.e. for 10,15,76 is 1140.

Thus, GCF of Fractions is 1/1140.Finally, GCF of Fractions for 387/10, 224/15, 410/76 is 1/1140.