Greatest Common Factor of 42/37, 93/71, 905/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/37, 93/71, 905/286

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 42/37,93/71,905/286

Given fractions are 42/37,93/71,905/286

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 42,93,905

Greatest Common Factor of Numerators i.e. GCF of 42,93,905 is 1 .

LCM of Denominators means LCM of 37,71,286 as per the given fractions.

LCM of 37,71,286 is 751322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,93,905

GCF of Fractions 42/37,93/71,905/286 is 1/751322

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

Greatest Common Factor of 42,93,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,93,905 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 42,93,905 . The biggest common factor number is the GCF number.
So the greatest common factor 42,93,905 is 1.

Lets's calculate LCM of 37,71,286

Given numbers has no common factors except 1. So, there LCM is their product i.e 751322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/751322

Therefore, the GCF of Fractions 42/37,93/71,905/286 is 1/751322

Least Common Multiple of 37,71,286 with GCF Formula

Least Common Multiple of 37,71,286 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 37,71,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,71,286) = 1

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

GCF(37,71,286) x common factors =1 x 1 = 1

LCM(37,71,286) = ( 37 × 71 × 286 ) / 1

LCM(37,71,286) = 751322 / 1

LCM(37,71,286) = 751322


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 42/37, 93/71, 905/286

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 42/37, 93/71, 905/286?

Answer: GCF of Numerators as per given numbers 42/37, 93/71, 905/286 is

GCF of Numerators i.e. for 42,93,905 is 1

LCM of denominators i.e. for 37,71,286 is 751322.

Thus, GCF of Fractions is 1/751322.Finally, GCF of Fractions for 42/37, 93/71, 905/286 is 1/751322.