Greatest Common Factor of 594/45, 865/53, 562/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/45, 865/53, 562/741

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 594/45,865/53,562/741

Given fractions are 594/45,865/53,562/741

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 594,865,562

Greatest Common Factor of Numerators i.e. GCF of 594,865,562 is 1 .

LCM of Denominators means LCM of 45,53,741 as per the given fractions.

LCM of 45,53,741 is 589095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,865,562

GCF of Fractions 594/45,865/53,562/741 is 1/589095

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

Greatest Common Factor of 594,865,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,865,562 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 594,865,562 . The biggest common factor number is the GCF number.
So the greatest common factor 594,865,562 is 1.

Lets's calculate LCM of 45,53,741

3 45, 53, 741
15, 53, 247

∴ So the LCM of the given numbers is 3 x 15 x 53 x 247 = 589095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589095

Therefore, the GCF of Fractions 594/45,865/53,562/741 is 1/589095

Least Common Multiple of 45,53,741 with GCF Formula

Least Common Multiple of 45,53,741 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 45,53,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,53,741) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,53,741) x common factors =1 x 3 = 3

LCM(45,53,741) = ( 45 × 53 × 741 ) / 3

LCM(45,53,741) = 1767285 / 3

LCM(45,53,741) = 589095


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 594/45, 865/53, 562/741

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 594/45, 865/53, 562/741?

Answer: GCF of Numerators as per given numbers 594/45, 865/53, 562/741 is

GCF of Numerators i.e. for 594,865,562 is 1

LCM of denominators i.e. for 45,53,741 is 589095.

Thus, GCF of Fractions is 1/589095.Finally, GCF of Fractions for 594/45, 865/53, 562/741 is 1/589095.