Greatest Common Factor of 11/87, 79/75, 97/98, 735/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/87, 79/75, 97/98, 735/99

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 11/87,79/75,97/98,735/99

Given fractions are 11/87,79/75,97/98,735/99

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 11,79,97,735

Greatest Common Factor of Numerators i.e. GCF of 11,79,97,735 is 1 .

LCM of Denominators means LCM of 87,75,98,99 as per the given fractions.

LCM of 87,75,98,99 is 7033950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,79,97,735

GCF of Fractions 11/87,79/75,97/98,735/99 is 1/7033950

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

Greatest Common Factor of 11,79,97,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,79,97,735 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 79

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

1,79

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 11,79,97,735 . The biggest common factor number is the GCF number.
So the greatest common factor 11,79,97,735 is 1.

Lets's calculate LCM of 87,75,98,99

3 87, 75, 98, 99
29, 25, 98, 33

∴ So the LCM of the given numbers is 3 x 29 x 25 x 98 x 33 = 7033950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7033950

Therefore, the GCF of Fractions 11/87,79/75,97/98,735/99 is 1/7033950

Least Common Multiple of 87,75,98,99 with GCF Formula

Least Common Multiple of 87,75,98,99 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 87,75,98,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,75,98,99) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(87,75,98,99) x common factors =1 x 9 = 9

LCM(87,75,98,99) = ( 87 × 75 × 98 × 99 ) / 9

LCM(87,75,98,99) = 63305550 / 9

LCM(87,75,98,99) = 7033950


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 11/87, 79/75, 97/98, 735/99

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 11/87, 79/75, 97/98, 735/99?

Answer: GCF of Numerators as per given numbers 11/87, 79/75, 97/98, 735/99 is

GCF of Numerators i.e. for 11,79,97,735 is 1

LCM of denominators i.e. for 87,75,98,99 is 7033950.

Thus, GCF of Fractions is 1/7033950.Finally, GCF of Fractions for 11/87, 79/75, 97/98, 735/99 is 1/7033950.