Greatest Common Factor of 609/90, 969/95, 605/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/90, 969/95, 605/576

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 609/90,969/95,605/576

Given fractions are 609/90,969/95,605/576

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 609,969,605

Greatest Common Factor of Numerators i.e. GCF of 609,969,605 is 1 .

LCM of Denominators means LCM of 90,95,576 as per the given fractions.

LCM of 90,95,576 is 54720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,969,605

GCF of Fractions 609/90,969/95,605/576 is 1/54720

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

Greatest Common Factor of 609,969,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,969,605 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 609,969,605 . The biggest common factor number is the GCF number.
So the greatest common factor 609,969,605 is 1.

Lets's calculate LCM of 90,95,576

2 90, 95, 576
3 45, 95, 288
3 15, 95, 96
5 5, 95, 32
1, 19, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 19 x 32 = 54720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54720

Therefore, the GCF of Fractions 609/90,969/95,605/576 is 1/54720

Least Common Multiple of 90,95,576 with GCF Formula

Least Common Multiple of 90,95,576 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 90,95,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,95,576) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(90,95,576) x common factors =1 x 90 = 90

LCM(90,95,576) = ( 90 × 95 × 576 ) / 90

LCM(90,95,576) = 4924800 / 90

LCM(90,95,576) = 54720


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 609/90, 969/95, 605/576

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 609/90, 969/95, 605/576?

Answer: GCF of Numerators as per given numbers 609/90, 969/95, 605/576 is

GCF of Numerators i.e. for 609,969,605 is 1

LCM of denominators i.e. for 90,95,576 is 54720.

Thus, GCF of Fractions is 1/54720.Finally, GCF of Fractions for 609/90, 969/95, 605/576 is 1/54720.