Greatest Common Factor of 90/64, 60/63, 750/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/64, 60/63, 750/10

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 90/64,60/63,750/10

Given fractions are 90/64,60/63,750/10

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 90,60,750

Greatest Common Factor of Numerators i.e. GCF of 90,60,750 is 30 .

LCM of Denominators means LCM of 64,63,10 as per the given fractions.

LCM of 64,63,10 is 20160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,60,750

GCF of Fractions 90/64,60/63,750/10 is 30/20160

2 90, 60, 750
3 45, 30, 375
5 15, 10, 125
3, 2, 25

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 90,60,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,60,750 By Matching Biggest Common Factor Method

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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 90,60,750 . The biggest common factor number is the GCF number.
So the greatest common factor 90,60,750 is 30.

Lets's calculate LCM of 64,63,10

2 64, 63, 10
32, 63, 5

∴ So the LCM of the given numbers is 2 x 32 x 63 x 5 = 20160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/20160

Therefore, the GCF of Fractions 90/64,60/63,750/10 is 30/20160

Least Common Multiple of 64,63,10 with GCF Formula

Least Common Multiple of 64,63,10 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 64,63,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,63,10) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,63,10) x common factors =1 x 2 = 2

LCM(64,63,10) = ( 64 × 63 × 10 ) / 2

LCM(64,63,10) = 40320 / 2

LCM(64,63,10) = 20160


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 90/64, 60/63, 750/10

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 90/64, 60/63, 750/10?

Answer: GCF of Numerators as per given numbers 90/64, 60/63, 750/10 is

GCF of Numerators i.e. for 90,60,750 is 30

LCM of denominators i.e. for 64,63,10 is 20160.

Thus, GCF of Fractions is 30/20160.Finally, GCF of Fractions for 90/64, 60/63, 750/10 is 30/20160.