Greatest Common Factor of 7/19, 83/26, 36/326, 940/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/19, 83/26, 36/326, 940/663

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 7/19,83/26,36/326,940/663

Given fractions are 7/19,83/26,36/326,940/663

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 7,83,36,940

Greatest Common Factor of Numerators i.e. GCF of 7,83,36,940 is 1 .

LCM of Denominators means LCM of 19,26,326,663 as per the given fractions.

LCM of 19,26,326,663 is 4106622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,83,36,940

GCF of Fractions 7/19,83/26,36/326,940/663 is 1/4106622

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

Greatest Common Factor of 7,83,36,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,83,36,940 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 7,83,36,940 . The biggest common factor number is the GCF number.
So the greatest common factor 7,83,36,940 is 1.

Lets's calculate LCM of 19,26,326,663

2 19, 26, 326, 663
13 19, 13, 163, 663
19, 1, 163, 51

∴ So the LCM of the given numbers is 2 x 13 x 19 x 1 x 163 x 51 = 4106622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4106622

Therefore, the GCF of Fractions 7/19,83/26,36/326,940/663 is 1/4106622

Least Common Multiple of 19,26,326,663 with GCF Formula

Least Common Multiple of 19,26,326,663 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 19,26,326,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,26,326,663) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(19,26,326,663) x common factors =1 x 26 = 26

LCM(19,26,326,663) = ( 19 × 26 × 326 × 663 ) / 26

LCM(19,26,326,663) = 106772172 / 26

LCM(19,26,326,663) = 4106622


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 7/19, 83/26, 36/326, 940/663

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 7/19, 83/26, 36/326, 940/663?

Answer: GCF of Numerators as per given numbers 7/19, 83/26, 36/326, 940/663 is

GCF of Numerators i.e. for 7,83,36,940 is 1

LCM of denominators i.e. for 19,26,326,663 is 4106622.

Thus, GCF of Fractions is 1/4106622.Finally, GCF of Fractions for 7/19, 83/26, 36/326, 940/663 is 1/4106622.