Greatest Common Factor of 924/152, 283/161, 523/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/152, 283/161, 523/646

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 924/152,283/161,523/646

Given fractions are 924/152,283/161,523/646

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 924,283,523

Greatest Common Factor of Numerators i.e. GCF of 924,283,523 is 1 .

LCM of Denominators means LCM of 152,161,646 as per the given fractions.

LCM of 152,161,646 is 416024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,283,523

GCF of Fractions 924/152,283/161,523/646 is 1/416024

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

Greatest Common Factor of 924,283,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,283,523 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 924,283,523 . The biggest common factor number is the GCF number.
So the greatest common factor 924,283,523 is 1.

Lets's calculate LCM of 152,161,646

2 152, 161, 646
19 76, 161, 323
4, 161, 17

∴ So the LCM of the given numbers is 2 x 19 x 4 x 161 x 17 = 416024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416024

Therefore, the GCF of Fractions 924/152,283/161,523/646 is 1/416024

Least Common Multiple of 152,161,646 with GCF Formula

Least Common Multiple of 152,161,646 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 152,161,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,161,646) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(152,161,646) x common factors =1 x 38 = 38

LCM(152,161,646) = ( 152 × 161 × 646 ) / 38

LCM(152,161,646) = 15808912 / 38

LCM(152,161,646) = 416024


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 924/152, 283/161, 523/646

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 924/152, 283/161, 523/646?

Answer: GCF of Numerators as per given numbers 924/152, 283/161, 523/646 is

GCF of Numerators i.e. for 924,283,523 is 1

LCM of denominators i.e. for 152,161,646 is 416024.

Thus, GCF of Fractions is 1/416024.Finally, GCF of Fractions for 924/152, 283/161, 523/646 is 1/416024.