Greatest Common Factor of 64/90, 67/25, 17/87, 631/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/90, 67/25, 17/87, 631/20

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 64/90,67/25,17/87,631/20

Given fractions are 64/90,67/25,17/87,631/20

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 64,67,17,631

Greatest Common Factor of Numerators i.e. GCF of 64,67,17,631 is 1 .

LCM of Denominators means LCM of 90,25,87,20 as per the given fractions.

LCM of 90,25,87,20 is 26100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,67,17,631

GCF of Fractions 64/90,67/25,17/87,631/20 is 1/26100

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

Greatest Common Factor of 64,67,17,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,67,17,631 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 64,67,17,631 . The biggest common factor number is the GCF number.
So the greatest common factor 64,67,17,631 is 1.

Lets's calculate LCM of 90,25,87,20

2 90, 25, 87, 20
3 45, 25, 87, 10
5 15, 25, 29, 10
3, 5, 29, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 5 x 29 x 2 = 26100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26100

Therefore, the GCF of Fractions 64/90,67/25,17/87,631/20 is 1/26100

Least Common Multiple of 90,25,87,20 with GCF Formula

Least Common Multiple of 90,25,87,20 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 90,25,87,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,25,87,20) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(90,25,87,20) x common factors =1 x 150 = 150

LCM(90,25,87,20) = ( 90 × 25 × 87 × 20 ) / 150

LCM(90,25,87,20) = 3915000 / 150

LCM(90,25,87,20) = 26100


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 64/90, 67/25, 17/87, 631/20

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 64/90, 67/25, 17/87, 631/20?

Answer: GCF of Numerators as per given numbers 64/90, 67/25, 17/87, 631/20 is

GCF of Numerators i.e. for 64,67,17,631 is 1

LCM of denominators i.e. for 90,25,87,20 is 26100.

Thus, GCF of Fractions is 1/26100.Finally, GCF of Fractions for 64/90, 67/25, 17/87, 631/20 is 1/26100.