Greatest Common Factor of 94/64, 80/30, 46/48, 79/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/64, 80/30, 46/48, 79/140

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 94/64,80/30,46/48,79/140

Given fractions are 94/64,80/30,46/48,79/140

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 94,80,46,79

Greatest Common Factor of Numerators i.e. GCF of 94,80,46,79 is 1 .

LCM of Denominators means LCM of 64,30,48,140 as per the given fractions.

LCM of 64,30,48,140 is 6720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,80,46,79

GCF of Fractions 94/64,80/30,46/48,79/140 is 1/6720

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

Greatest Common Factor of 94,80,46,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,80,46,79 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 46

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

1,2,23,46

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 94,80,46,79 . The biggest common factor number is the GCF number.
So the greatest common factor 94,80,46,79 is 1.

Lets's calculate LCM of 64,30,48,140

2 64, 30, 48, 140
2 32, 15, 24, 70
2 16, 15, 12, 35
2 8, 15, 6, 35
3 4, 15, 3, 35
5 4, 5, 1, 35
4, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 4 x 1 x 1 x 7 = 6720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720

Therefore, the GCF of Fractions 94/64,80/30,46/48,79/140 is 1/6720

Least Common Multiple of 64,30,48,140 with GCF Formula

Least Common Multiple of 64,30,48,140 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 64,30,48,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,30,48,140) = 2

common factors(in case of two or more numbers have common factors) = 960

GCF(64,30,48,140) x common factors =2 x 960 = 1920

LCM(64,30,48,140) = ( 64 × 30 × 48 × 140 ) / 1920

LCM(64,30,48,140) = 12902400 / 1920

LCM(64,30,48,140) = 6720


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 94/64, 80/30, 46/48, 79/140

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 94/64, 80/30, 46/48, 79/140?

Answer: GCF of Numerators as per given numbers 94/64, 80/30, 46/48, 79/140 is

GCF of Numerators i.e. for 94,80,46,79 is 1

LCM of denominators i.e. for 64,30,48,140 is 6720.

Thus, GCF of Fractions is 1/6720.Finally, GCF of Fractions for 94/64, 80/30, 46/48, 79/140 is 1/6720.