Greatest Common Factor of 623/705, 565/269, 594/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 623/705, 565/269, 594/489

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 623/705,565/269,594/489

Given fractions are 623/705,565/269,594/489

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 623,565,594

Greatest Common Factor of Numerators i.e. GCF of 623,565,594 is 1 .

LCM of Denominators means LCM of 705,269,489 as per the given fractions.

LCM of 705,269,489 is 30912135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 623,565,594

GCF of Fractions 623/705,565/269,594/489 is 1/30912135

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

Greatest Common Factor of 623,565,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,565,594 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

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

Greatest Common Factor

We found the factors 623,565,594 . The biggest common factor number is the GCF number.
So the greatest common factor 623,565,594 is 1.

Lets's calculate LCM of 705,269,489

3 705, 269, 489
235, 269, 163

∴ So the LCM of the given numbers is 3 x 235 x 269 x 163 = 30912135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30912135

Therefore, the GCF of Fractions 623/705,565/269,594/489 is 1/30912135

Least Common Multiple of 705,269,489 with GCF Formula

Least Common Multiple of 705,269,489 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 705,269,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,269,489) = 1

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

GCF(705,269,489) x common factors =1 x 3 = 3

LCM(705,269,489) = ( 705 × 269 × 489 ) / 3

LCM(705,269,489) = 92736405 / 3

LCM(705,269,489) = 30912135


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 623/705, 565/269, 594/489

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 623/705, 565/269, 594/489?

Answer: GCF of Numerators as per given numbers 623/705, 565/269, 594/489 is

GCF of Numerators i.e. for 623,565,594 is 1

LCM of denominators i.e. for 705,269,489 is 30912135.

Thus, GCF of Fractions is 1/30912135.Finally, GCF of Fractions for 623/705, 565/269, 594/489 is 1/30912135.