Greatest Common Factor of 380/404, 618/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/404, 618/504

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 380/404,618/504

Given fractions are 380/404,618/504

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 380,618

Greatest Common Factor of Numerators i.e. GCF of 380,618 is 2 .

LCM of Denominators means LCM of 404,504 as per the given fractions.

LCM of 404,504 is 50904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,618

GCF of Fractions 380/404,618/504 is 2/50904

2 380, 618
190, 309

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

Greatest Common Factor of 380,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,618 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 380,618 . The biggest common factor number is the GCF number.
So the greatest common factor 380,618 is 2.

Lets's calculate LCM of 404,504

2 404, 504
2 202, 252
101, 126

∴ So the LCM of the given numbers is 2 x 2 x 101 x 126 = 50904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50904

Therefore, the GCF of Fractions 380/404,618/504 is 2/50904

Least Common Multiple of 404,504 with GCF Formula

Least Common Multiple of 404,504 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 404,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,504) = 4

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

GCF(404,504) x common factors =4 x 1 = 4

LCM(404,504) = ( 404 × 504 ) / 4

LCM(404,504) = 203616 / 4

LCM(404,504) = 50904


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 380/404, 618/504

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 380/404, 618/504?

Answer: GCF of Numerators as per given numbers 380/404, 618/504 is

GCF of Numerators i.e. for 380,618 is 2

LCM of denominators i.e. for 404,504 is 50904.

Thus, GCF of Fractions is 2/50904.Finally, GCF of Fractions for 380/404, 618/504 is 2/50904.