Greatest Common Factor of 24/832, 773/352, 281/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/832, 773/352, 281/366

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 24/832,773/352,281/366

Given fractions are 24/832,773/352,281/366

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 24,773,281

Greatest Common Factor of Numerators i.e. GCF of 24,773,281 is 1 .

LCM of Denominators means LCM of 832,352,366 as per the given fractions.

LCM of 832,352,366 is 1674816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,773,281

GCF of Fractions 24/832,773/352,281/366 is 1/1674816

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

Greatest Common Factor of 24,773,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,773,281 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 24,773,281 . The biggest common factor number is the GCF number.
So the greatest common factor 24,773,281 is 1.

Lets's calculate LCM of 832,352,366

2 832, 352, 366
2 416, 176, 183
2 208, 88, 183
2 104, 44, 183
2 52, 22, 183
26, 11, 183

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 26 x 11 x 183 = 1674816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1674816

Therefore, the GCF of Fractions 24/832,773/352,281/366 is 1/1674816

Least Common Multiple of 832,352,366 with GCF Formula

Least Common Multiple of 832,352,366 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 832,352,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,352,366) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(832,352,366) x common factors =2 x 32 = 64

LCM(832,352,366) = ( 832 × 352 × 366 ) / 64

LCM(832,352,366) = 107188224 / 64

LCM(832,352,366) = 1674816


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 24/832, 773/352, 281/366

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 24/832, 773/352, 281/366?

Answer: GCF of Numerators as per given numbers 24/832, 773/352, 281/366 is

GCF of Numerators i.e. for 24,773,281 is 1

LCM of denominators i.e. for 832,352,366 is 1674816.

Thus, GCF of Fractions is 1/1674816.Finally, GCF of Fractions for 24/832, 773/352, 281/366 is 1/1674816.