Greatest Common Factor of 70/384, 75/299, 463/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/384, 75/299, 463/164

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 70/384,75/299,463/164

Given fractions are 70/384,75/299,463/164

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 70,75,463

Greatest Common Factor of Numerators i.e. GCF of 70,75,463 is 1 .

LCM of Denominators means LCM of 384,299,164 as per the given fractions.

LCM of 384,299,164 is 4707456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,75,463

GCF of Fractions 70/384,75/299,463/164 is 1/4707456

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

Greatest Common Factor of 70,75,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,75,463 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 70,75,463 . The biggest common factor number is the GCF number.
So the greatest common factor 70,75,463 is 1.

Lets's calculate LCM of 384,299,164

2 384, 299, 164
2 192, 299, 82
96, 299, 41

∴ So the LCM of the given numbers is 2 x 2 x 96 x 299 x 41 = 4707456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4707456

Therefore, the GCF of Fractions 70/384,75/299,463/164 is 1/4707456

Least Common Multiple of 384,299,164 with GCF Formula

Least Common Multiple of 384,299,164 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 384,299,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,299,164) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(384,299,164) x common factors =1 x 4 = 4

LCM(384,299,164) = ( 384 × 299 × 164 ) / 4

LCM(384,299,164) = 18829824 / 4

LCM(384,299,164) = 4707456


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 70/384, 75/299, 463/164

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 70/384, 75/299, 463/164?

Answer: GCF of Numerators as per given numbers 70/384, 75/299, 463/164 is

GCF of Numerators i.e. for 70,75,463 is 1

LCM of denominators i.e. for 384,299,164 is 4707456.

Thus, GCF of Fractions is 1/4707456.Finally, GCF of Fractions for 70/384, 75/299, 463/164 is 1/4707456.