Greatest Common Factor of 318/305, 763/462, 106/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/305, 763/462, 106/962

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 318/305,763/462,106/962

Given fractions are 318/305,763/462,106/962

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 318,763,106

Greatest Common Factor of Numerators i.e. GCF of 318,763,106 is 1 .

LCM of Denominators means LCM of 305,462,962 as per the given fractions.

LCM of 305,462,962 is 67777710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,763,106

GCF of Fractions 318/305,763/462,106/962 is 1/67777710

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

Greatest Common Factor of 318,763,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,763,106 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 318,763,106 . The biggest common factor number is the GCF number.
So the greatest common factor 318,763,106 is 1.

Lets's calculate LCM of 305,462,962

2 305, 462, 962
305, 231, 481

∴ So the LCM of the given numbers is 2 x 305 x 231 x 481 = 67777710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67777710

Therefore, the GCF of Fractions 318/305,763/462,106/962 is 1/67777710

Least Common Multiple of 305,462,962 with GCF Formula

Least Common Multiple of 305,462,962 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 305,462,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,462,962) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(305,462,962) x common factors =1 x 2 = 2

LCM(305,462,962) = ( 305 × 462 × 962 ) / 2

LCM(305,462,962) = 135555420 / 2

LCM(305,462,962) = 67777710


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 318/305, 763/462, 106/962

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 318/305, 763/462, 106/962?

Answer: GCF of Numerators as per given numbers 318/305, 763/462, 106/962 is

GCF of Numerators i.e. for 318,763,106 is 1

LCM of denominators i.e. for 305,462,962 is 67777710.

Thus, GCF of Fractions is 1/67777710.Finally, GCF of Fractions for 318/305, 763/462, 106/962 is 1/67777710.