Greatest Common Factor of 382/36, 515/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/36, 515/414

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 382/36,515/414

Given fractions are 382/36,515/414

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 382,515

Greatest Common Factor of Numerators i.e. GCF of 382,515 is 1 .

LCM of Denominators means LCM of 36,414 as per the given fractions.

LCM of 36,414 is 828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,515

GCF of Fractions 382/36,515/414 is 1/828

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

Greatest Common Factor of 382,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,515 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 382,515 . The biggest common factor number is the GCF number.
So the greatest common factor 382,515 is 1.

Lets's calculate LCM of 36,414

2 36, 414
3 18, 207
3 6, 69
2, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 23 = 828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828

Therefore, the GCF of Fractions 382/36,515/414 is 1/828

Least Common Multiple of 36,414 with GCF Formula

Least Common Multiple of 36,414 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 36,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,414) = 18

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

GCF(36,414) x common factors =18 x 1 = 18

LCM(36,414) = ( 36 × 414 ) / 18

LCM(36,414) = 14904 / 18

LCM(36,414) = 828


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 382/36, 515/414

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 382/36, 515/414?

Answer: GCF of Numerators as per given numbers 382/36, 515/414 is

GCF of Numerators i.e. for 382,515 is 1

LCM of denominators i.e. for 36,414 is 828.

Thus, GCF of Fractions is 1/828.Finally, GCF of Fractions for 382/36, 515/414 is 1/828.