Greatest Common Factor of 40/82, 35/70, 12/76, 42/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/82, 35/70, 12/76, 42/728

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 40/82,35/70,12/76,42/728

Given fractions are 40/82,35/70,12/76,42/728

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 40,35,12,42

Greatest Common Factor of Numerators i.e. GCF of 40,35,12,42 is 1 .

LCM of Denominators means LCM of 82,70,76,728 as per the given fractions.

LCM of 82,70,76,728 is 2835560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,35,12,42

GCF of Fractions 40/82,35/70,12/76,42/728 is 1/2835560

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

Greatest Common Factor of 40,35,12,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,35,12,42 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 40,35,12,42 . The biggest common factor number is the GCF number.
So the greatest common factor 40,35,12,42 is 1.

Lets's calculate LCM of 82,70,76,728

2 82, 70, 76, 728
2 41, 35, 38, 364
7 41, 35, 19, 182
41, 5, 19, 26

∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 5 x 19 x 26 = 2835560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2835560

Therefore, the GCF of Fractions 40/82,35/70,12/76,42/728 is 1/2835560

Least Common Multiple of 82,70,76,728 with GCF Formula

Least Common Multiple of 82,70,76,728 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 82,70,76,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,70,76,728) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(82,70,76,728) x common factors =2 x 56 = 112

LCM(82,70,76,728) = ( 82 × 70 × 76 × 728 ) / 112

LCM(82,70,76,728) = 317582720 / 112

LCM(82,70,76,728) = 2835560


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 40/82, 35/70, 12/76, 42/728

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 40/82, 35/70, 12/76, 42/728?

Answer: GCF of Numerators as per given numbers 40/82, 35/70, 12/76, 42/728 is

GCF of Numerators i.e. for 40,35,12,42 is 1

LCM of denominators i.e. for 82,70,76,728 is 2835560.

Thus, GCF of Fractions is 1/2835560.Finally, GCF of Fractions for 40/82, 35/70, 12/76, 42/728 is 1/2835560.