Greatest Common Factor of 830/507, 168/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/507, 168/378

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 830/507,168/378

Given fractions are 830/507,168/378

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 830,168

Greatest Common Factor of Numerators i.e. GCF of 830,168 is 2 .

LCM of Denominators means LCM of 507,378 as per the given fractions.

LCM of 507,378 is 63882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,168

GCF of Fractions 830/507,168/378 is 2/63882

2 830, 168
415, 84

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

Greatest Common Factor of 830,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,168 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 830,168 . The biggest common factor number is the GCF number.
So the greatest common factor 830,168 is 2.

Lets's calculate LCM of 507,378

3 507, 378
169, 126

∴ So the LCM of the given numbers is 3 x 169 x 126 = 63882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63882

Therefore, the GCF of Fractions 830/507,168/378 is 2/63882

Least Common Multiple of 507,378 with GCF Formula

Least Common Multiple of 507,378 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 507,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,378) = 3

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

GCF(507,378) x common factors =3 x 1 = 3

LCM(507,378) = ( 507 × 378 ) / 3

LCM(507,378) = 191646 / 3

LCM(507,378) = 63882


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 830/507, 168/378

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 830/507, 168/378?

Answer: GCF of Numerators as per given numbers 830/507, 168/378 is

GCF of Numerators i.e. for 830,168 is 2

LCM of denominators i.e. for 507,378 is 63882.

Thus, GCF of Fractions is 2/63882.Finally, GCF of Fractions for 830/507, 168/378 is 2/63882.