Greatest Common Factor of 47/75, 37/689, 407/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/75, 37/689, 407/326

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 47/75,37/689,407/326

Given fractions are 47/75,37/689,407/326

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 47,37,407

Greatest Common Factor of Numerators i.e. GCF of 47,37,407 is 1 .

LCM of Denominators means LCM of 75,689,326 as per the given fractions.

LCM of 75,689,326 is 16846050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,37,407

GCF of Fractions 47/75,37/689,407/326 is 1/16846050

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

Greatest Common Factor of 47,37,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,37,407 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 407

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

1,11,37,407

Greatest Common Factor

We found the factors 47,37,407 . The biggest common factor number is the GCF number.
So the greatest common factor 47,37,407 is 1.

Lets's calculate LCM of 75,689,326

Given numbers has no common factors except 1. So, there LCM is their product i.e 16846050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16846050

Therefore, the GCF of Fractions 47/75,37/689,407/326 is 1/16846050

Least Common Multiple of 75,689,326 with GCF Formula

Least Common Multiple of 75,689,326 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 75,689,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,689,326) = 1

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

GCF(75,689,326) x common factors =1 x 1 = 1

LCM(75,689,326) = ( 75 × 689 × 326 ) / 1

LCM(75,689,326) = 16846050 / 1

LCM(75,689,326) = 16846050


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 47/75, 37/689, 407/326

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 47/75, 37/689, 407/326?

Answer: GCF of Numerators as per given numbers 47/75, 37/689, 407/326 is

GCF of Numerators i.e. for 47,37,407 is 1

LCM of denominators i.e. for 75,689,326 is 16846050.

Thus, GCF of Fractions is 1/16846050.Finally, GCF of Fractions for 47/75, 37/689, 407/326 is 1/16846050.