Greatest Common Factor of 606/23, 924/45, 261/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/23, 924/45, 261/585

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 606/23,924/45,261/585

Given fractions are 606/23,924/45,261/585

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 606,924,261

Greatest Common Factor of Numerators i.e. GCF of 606,924,261 is 3 .

LCM of Denominators means LCM of 23,45,585 as per the given fractions.

LCM of 23,45,585 is 13455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,924,261

GCF of Fractions 606/23,924/45,261/585 is 3/13455

3 606, 924, 261
202, 308, 87

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 606,924,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,924,261 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

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 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 606,924,261 . The biggest common factor number is the GCF number.
So the greatest common factor 606,924,261 is 3.

Lets's calculate LCM of 23,45,585

3 23, 45, 585
3 23, 15, 195
5 23, 5, 65
23, 1, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 23 x 1 x 13 = 13455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13455

Therefore, the GCF of Fractions 606/23,924/45,261/585 is 3/13455

Least Common Multiple of 23,45,585 with GCF Formula

Least Common Multiple of 23,45,585 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 23,45,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,45,585) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(23,45,585) x common factors =1 x 45 = 45

LCM(23,45,585) = ( 23 × 45 × 585 ) / 45

LCM(23,45,585) = 605475 / 45

LCM(23,45,585) = 13455


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 606/23, 924/45, 261/585

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 606/23, 924/45, 261/585?

Answer: GCF of Numerators as per given numbers 606/23, 924/45, 261/585 is

GCF of Numerators i.e. for 606,924,261 is 3

LCM of denominators i.e. for 23,45,585 is 13455.

Thus, GCF of Fractions is 3/13455.Finally, GCF of Fractions for 606/23, 924/45, 261/585 is 3/13455.