Greatest Common Factor of 936/29, 985/32, 664/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/29, 985/32, 664/984

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 936/29,985/32,664/984

Given fractions are 936/29,985/32,664/984

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 936,985,664

Greatest Common Factor of Numerators i.e. GCF of 936,985,664 is 1 .

LCM of Denominators means LCM of 29,32,984 as per the given fractions.

LCM of 29,32,984 is 114144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,985,664

GCF of Fractions 936/29,985/32,664/984 is 1/114144

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

Greatest Common Factor of 936,985,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,985,664 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 936,985,664 . The biggest common factor number is the GCF number.
So the greatest common factor 936,985,664 is 1.

Lets's calculate LCM of 29,32,984

2 29, 32, 984
2 29, 16, 492
2 29, 8, 246
29, 4, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 4 x 123 = 114144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114144

Therefore, the GCF of Fractions 936/29,985/32,664/984 is 1/114144

Least Common Multiple of 29,32,984 with GCF Formula

Least Common Multiple of 29,32,984 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 29,32,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,32,984) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(29,32,984) x common factors =1 x 8 = 8

LCM(29,32,984) = ( 29 × 32 × 984 ) / 8

LCM(29,32,984) = 913152 / 8

LCM(29,32,984) = 114144


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 936/29, 985/32, 664/984

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 936/29, 985/32, 664/984?

Answer: GCF of Numerators as per given numbers 936/29, 985/32, 664/984 is

GCF of Numerators i.e. for 936,985,664 is 1

LCM of denominators i.e. for 29,32,984 is 114144.

Thus, GCF of Fractions is 1/114144.Finally, GCF of Fractions for 936/29, 985/32, 664/984 is 1/114144.