Greatest Common Factor of 80/94, 37/74, 960/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/94, 37/74, 960/734

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 80/94,37/74,960/734

Given fractions are 80/94,37/74,960/734

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 80,37,960

Greatest Common Factor of Numerators i.e. GCF of 80,37,960 is 1 .

LCM of Denominators means LCM of 94,74,734 as per the given fractions.

LCM of 94,74,734 is 1276426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,37,960

GCF of Fractions 80/94,37/74,960/734 is 1/1276426

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

Greatest Common Factor of 80,37,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,37,960 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 37

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

1,37

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 80,37,960 . The biggest common factor number is the GCF number.
So the greatest common factor 80,37,960 is 1.

Lets's calculate LCM of 94,74,734

2 94, 74, 734
47, 37, 367

∴ So the LCM of the given numbers is 2 x 47 x 37 x 367 = 1276426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1276426

Therefore, the GCF of Fractions 80/94,37/74,960/734 is 1/1276426

Least Common Multiple of 94,74,734 with GCF Formula

Least Common Multiple of 94,74,734 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 94,74,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,74,734) = 2

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

GCF(94,74,734) x common factors =2 x 2 = 4

LCM(94,74,734) = ( 94 × 74 × 734 ) / 4

LCM(94,74,734) = 5105704 / 4

LCM(94,74,734) = 1276426


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 80/94, 37/74, 960/734

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 80/94, 37/74, 960/734?

Answer: GCF of Numerators as per given numbers 80/94, 37/74, 960/734 is

GCF of Numerators i.e. for 80,37,960 is 1

LCM of denominators i.e. for 94,74,734 is 1276426.

Thus, GCF of Fractions is 1/1276426.Finally, GCF of Fractions for 80/94, 37/74, 960/734 is 1/1276426.