Greatest Common Factor of 46/71, 407/73, 415/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/71, 407/73, 415/937

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 46/71,407/73,415/937

Given fractions are 46/71,407/73,415/937

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 46,407,415

Greatest Common Factor of Numerators i.e. GCF of 46,407,415 is 1 .

LCM of Denominators means LCM of 71,73,937 as per the given fractions.

LCM of 71,73,937 is 4856471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,407,415

GCF of Fractions 46/71,407/73,415/937 is 1/4856471

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

Greatest Common Factor of 46,407,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,407,415 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 46,407,415 . The biggest common factor number is the GCF number.
So the greatest common factor 46,407,415 is 1.

Lets's calculate LCM of 71,73,937

Given numbers has no common factors except 1. So, there LCM is their product i.e 4856471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4856471

Therefore, the GCF of Fractions 46/71,407/73,415/937 is 1/4856471

Least Common Multiple of 71,73,937 with GCF Formula

Least Common Multiple of 71,73,937 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 71,73,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,73,937) = 1

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

GCF(71,73,937) x common factors =1 x 1 = 1

LCM(71,73,937) = ( 71 × 73 × 937 ) / 1

LCM(71,73,937) = 4856471 / 1

LCM(71,73,937) = 4856471


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 46/71, 407/73, 415/937

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 46/71, 407/73, 415/937?

Answer: GCF of Numerators as per given numbers 46/71, 407/73, 415/937 is

GCF of Numerators i.e. for 46,407,415 is 1

LCM of denominators i.e. for 71,73,937 is 4856471.

Thus, GCF of Fractions is 1/4856471.Finally, GCF of Fractions for 46/71, 407/73, 415/937 is 1/4856471.