Greatest Common Factor of 380/594, 8156/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/594, 8156/687

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 380/594,8156/687

Given fractions are 380/594,8156/687

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 380,8156

Greatest Common Factor of Numerators i.e. GCF of 380,8156 is 4 .

LCM of Denominators means LCM of 594,687 as per the given fractions.

LCM of 594,687 is 136026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,8156

GCF of Fractions 380/594,8156/687 is 4/136026

2 380, 8156
2 190, 4078
95, 2039

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 380,8156 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,8156 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 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1,2,4,2039,4078,8156

Greatest Common Factor

We found the factors 380,8156 . The biggest common factor number is the GCF number.
So the greatest common factor 380,8156 is 4.

Lets's calculate LCM of 594,687

3 594, 687
198, 229

∴ So the LCM of the given numbers is 3 x 198 x 229 = 136026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136026

Therefore, the GCF of Fractions 380/594,8156/687 is 4/136026

Least Common Multiple of 594,687 with GCF Formula

Least Common Multiple of 594,687 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 594,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,687) = 3

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

GCF(594,687) x common factors =3 x 1 = 3

LCM(594,687) = ( 594 × 687 ) / 3

LCM(594,687) = 408078 / 3

LCM(594,687) = 136026


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 380/594, 8156/687

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 380/594, 8156/687?

Answer: GCF of Numerators as per given numbers 380/594, 8156/687 is

GCF of Numerators i.e. for 380,8156 is 4

LCM of denominators i.e. for 594,687 is 136026.

Thus, GCF of Fractions is 4/136026.Finally, GCF of Fractions for 380/594, 8156/687 is 4/136026.