Greatest Common Factor of 924/184, 573/211, 405/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/184, 573/211, 405/894

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 924/184,573/211,405/894

Given fractions are 924/184,573/211,405/894

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 924,573,405

Greatest Common Factor of Numerators i.e. GCF of 924,573,405 is 3 .

LCM of Denominators means LCM of 184,211,894 as per the given fractions.

LCM of 184,211,894 is 17354328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,573,405

GCF of Fractions 924/184,573/211,405/894 is 3/17354328

3 924, 573, 405
308, 191, 135

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

Greatest Common Factor of 924,573,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,573,405 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 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 924,573,405 . The biggest common factor number is the GCF number.
So the greatest common factor 924,573,405 is 3.

Lets's calculate LCM of 184,211,894

2 184, 211, 894
92, 211, 447

∴ So the LCM of the given numbers is 2 x 92 x 211 x 447 = 17354328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17354328

Therefore, the GCF of Fractions 924/184,573/211,405/894 is 3/17354328

Least Common Multiple of 184,211,894 with GCF Formula

Least Common Multiple of 184,211,894 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 184,211,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,211,894) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(184,211,894) x common factors =1 x 2 = 2

LCM(184,211,894) = ( 184 × 211 × 894 ) / 2

LCM(184,211,894) = 34708656 / 2

LCM(184,211,894) = 17354328


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 924/184, 573/211, 405/894

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 924/184, 573/211, 405/894?

Answer: GCF of Numerators as per given numbers 924/184, 573/211, 405/894 is

GCF of Numerators i.e. for 924,573,405 is 3

LCM of denominators i.e. for 184,211,894 is 17354328.

Thus, GCF of Fractions is 3/17354328.Finally, GCF of Fractions for 924/184, 573/211, 405/894 is 3/17354328.