Greatest Common Factor of 942/82, 305/49, 714/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 942/82, 305/49, 714/129

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 942/82,305/49,714/129

Given fractions are 942/82,305/49,714/129

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 942,305,714

Greatest Common Factor of Numerators i.e. GCF of 942,305,714 is 1 .

LCM of Denominators means LCM of 82,49,129 as per the given fractions.

LCM of 82,49,129 is 518322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,305,714

GCF of Fractions 942/82,305/49,714/129 is 1/518322

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

Greatest Common Factor of 942,305,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,305,714 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 942,305,714 . The biggest common factor number is the GCF number.
So the greatest common factor 942,305,714 is 1.

Lets's calculate LCM of 82,49,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 518322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518322

Therefore, the GCF of Fractions 942/82,305/49,714/129 is 1/518322

Least Common Multiple of 82,49,129 with GCF Formula

Least Common Multiple of 82,49,129 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 82,49,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,49,129) = 1

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

GCF(82,49,129) x common factors =1 x 1 = 1

LCM(82,49,129) = ( 82 × 49 × 129 ) / 1

LCM(82,49,129) = 518322 / 1

LCM(82,49,129) = 518322


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 942/82, 305/49, 714/129

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 942/82, 305/49, 714/129?

Answer: GCF of Numerators as per given numbers 942/82, 305/49, 714/129 is

GCF of Numerators i.e. for 942,305,714 is 1

LCM of denominators i.e. for 82,49,129 is 518322.

Thus, GCF of Fractions is 1/518322.Finally, GCF of Fractions for 942/82, 305/49, 714/129 is 1/518322.