Greatest Common Factor of 37/46, 71/278, 986/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/46, 71/278, 986/936

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 37/46,71/278,986/936

Given fractions are 37/46,71/278,986/936

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 37,71,986

Greatest Common Factor of Numerators i.e. GCF of 37,71,986 is 1 .

LCM of Denominators means LCM of 46,278,936 as per the given fractions.

LCM of 46,278,936 is 2992392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,71,986

GCF of Fractions 37/46,71/278,986/936 is 1/2992392

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

Greatest Common Factor of 37,71,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,71,986 By Matching Biggest Common Factor Method

Factors of 37

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

1,37

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 37,71,986 . The biggest common factor number is the GCF number.
So the greatest common factor 37,71,986 is 1.

Lets's calculate LCM of 46,278,936

2 46, 278, 936
23, 139, 468

∴ So the LCM of the given numbers is 2 x 23 x 139 x 468 = 2992392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2992392

Therefore, the GCF of Fractions 37/46,71/278,986/936 is 1/2992392

Least Common Multiple of 46,278,936 with GCF Formula

Least Common Multiple of 46,278,936 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 46,278,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,278,936) = 2

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

GCF(46,278,936) x common factors =2 x 2 = 4

LCM(46,278,936) = ( 46 × 278 × 936 ) / 4

LCM(46,278,936) = 11969568 / 4

LCM(46,278,936) = 2992392


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 37/46, 71/278, 986/936

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 37/46, 71/278, 986/936?

Answer: GCF of Numerators as per given numbers 37/46, 71/278, 986/936 is

GCF of Numerators i.e. for 37,71,986 is 1

LCM of denominators i.e. for 46,278,936 is 2992392.

Thus, GCF of Fractions is 1/2992392.Finally, GCF of Fractions for 37/46, 71/278, 986/936 is 1/2992392.