Greatest Common Factor of 7/73, 31/75, 16/584, 326/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/73, 31/75, 16/584, 326/691

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 7/73,31/75,16/584,326/691

Given fractions are 7/73,31/75,16/584,326/691

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 7,31,16,326

Greatest Common Factor of Numerators i.e. GCF of 7,31,16,326 is 1 .

LCM of Denominators means LCM of 73,75,584,691 as per the given fractions.

LCM of 73,75,584,691 is 30265800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,31,16,326

GCF of Fractions 7/73,31/75,16/584,326/691 is 1/30265800

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

Greatest Common Factor of 7,31,16,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,31,16,326 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 7,31,16,326 . The biggest common factor number is the GCF number.
So the greatest common factor 7,31,16,326 is 1.

Lets's calculate LCM of 73,75,584,691

73 73, 75, 584, 691
1, 75, 8, 691

∴ So the LCM of the given numbers is 73 x 1 x 75 x 8 x 691 = 30265800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30265800

Therefore, the GCF of Fractions 7/73,31/75,16/584,326/691 is 1/30265800

Least Common Multiple of 73,75,584,691 with GCF Formula

Least Common Multiple of 73,75,584,691 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 73,75,584,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,75,584,691) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(73,75,584,691) x common factors =1 x 73 = 73

LCM(73,75,584,691) = ( 73 × 75 × 584 × 691 ) / 73

LCM(73,75,584,691) = 2209403400 / 73

LCM(73,75,584,691) = 30265800


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 7/73, 31/75, 16/584, 326/691

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 7/73, 31/75, 16/584, 326/691?

Answer: GCF of Numerators as per given numbers 7/73, 31/75, 16/584, 326/691 is

GCF of Numerators i.e. for 7,31,16,326 is 1

LCM of denominators i.e. for 73,75,584,691 is 30265800.

Thus, GCF of Fractions is 1/30265800.Finally, GCF of Fractions for 7/73, 31/75, 16/584, 326/691 is 1/30265800.