Greatest Common Factor of 904/32, 365/40, 992/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/32, 365/40, 992/464

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 904/32,365/40,992/464

Given fractions are 904/32,365/40,992/464

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 904,365,992

Greatest Common Factor of Numerators i.e. GCF of 904,365,992 is 1 .

LCM of Denominators means LCM of 32,40,464 as per the given fractions.

LCM of 32,40,464 is 4640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,365,992

GCF of Fractions 904/32,365/40,992/464 is 1/4640

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

Greatest Common Factor of 904,365,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,365,992 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 904,365,992 . The biggest common factor number is the GCF number.
So the greatest common factor 904,365,992 is 1.

Lets's calculate LCM of 32,40,464

2 32, 40, 464
2 16, 20, 232
2 8, 10, 116
2 4, 5, 58
2, 5, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 29 = 4640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4640

Therefore, the GCF of Fractions 904/32,365/40,992/464 is 1/4640

Least Common Multiple of 32,40,464 with GCF Formula

Least Common Multiple of 32,40,464 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 32,40,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,40,464) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(32,40,464) x common factors =8 x 16 = 128

LCM(32,40,464) = ( 32 × 40 × 464 ) / 128

LCM(32,40,464) = 593920 / 128

LCM(32,40,464) = 4640


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 904/32, 365/40, 992/464

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 904/32, 365/40, 992/464?

Answer: GCF of Numerators as per given numbers 904/32, 365/40, 992/464 is

GCF of Numerators i.e. for 904,365,992 is 1

LCM of denominators i.e. for 32,40,464 is 4640.

Thus, GCF of Fractions is 1/4640.Finally, GCF of Fractions for 904/32, 365/40, 992/464 is 1/4640.