Greatest Common Factor of 97/66, 90/38, 19/50, 21/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/66, 90/38, 19/50, 21/75

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 97/66,90/38,19/50,21/75

Given fractions are 97/66,90/38,19/50,21/75

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 97,90,19,21

Greatest Common Factor of Numerators i.e. GCF of 97,90,19,21 is 1 .

LCM of Denominators means LCM of 66,38,50,75 as per the given fractions.

LCM of 66,38,50,75 is 31350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,90,19,21

GCF of Fractions 97/66,90/38,19/50,21/75 is 1/31350

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

Greatest Common Factor of 97,90,19,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,90,19,21 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 97,90,19,21 . The biggest common factor number is the GCF number.
So the greatest common factor 97,90,19,21 is 1.

Lets's calculate LCM of 66,38,50,75

2 66, 38, 50, 75
3 33, 19, 25, 75
5 11, 19, 25, 25
5 11, 19, 5, 5
11, 19, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 11 x 19 x 1 x 1 = 31350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31350

Therefore, the GCF of Fractions 97/66,90/38,19/50,21/75 is 1/31350

Least Common Multiple of 66,38,50,75 with GCF Formula

Least Common Multiple of 66,38,50,75 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 66,38,50,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,38,50,75) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(66,38,50,75) x common factors =1 x 300 = 300

LCM(66,38,50,75) = ( 66 × 38 × 50 × 75 ) / 300

LCM(66,38,50,75) = 9405000 / 300

LCM(66,38,50,75) = 31350


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 97/66, 90/38, 19/50, 21/75

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 97/66, 90/38, 19/50, 21/75?

Answer: GCF of Numerators as per given numbers 97/66, 90/38, 19/50, 21/75 is

GCF of Numerators i.e. for 97,90,19,21 is 1

LCM of denominators i.e. for 66,38,50,75 is 31350.

Thus, GCF of Fractions is 1/31350.Finally, GCF of Fractions for 97/66, 90/38, 19/50, 21/75 is 1/31350.