Greatest Common Factor of 909/34, 459/80, 737/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/34, 459/80, 737/136

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 909/34,459/80,737/136

Given fractions are 909/34,459/80,737/136

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 909,459,737

Greatest Common Factor of Numerators i.e. GCF of 909,459,737 is 1 .

LCM of Denominators means LCM of 34,80,136 as per the given fractions.

LCM of 34,80,136 is 1360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,459,737

GCF of Fractions 909/34,459/80,737/136 is 1/1360

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

Greatest Common Factor of 909,459,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,459,737 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 909,459,737 . The biggest common factor number is the GCF number.
So the greatest common factor 909,459,737 is 1.

Lets's calculate LCM of 34,80,136

2 34, 80, 136
2 17, 40, 68
2 17, 20, 34
17 17, 10, 17
1, 10, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 10 x 1 = 1360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360

Therefore, the GCF of Fractions 909/34,459/80,737/136 is 1/1360

Least Common Multiple of 34,80,136 with GCF Formula

Least Common Multiple of 34,80,136 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 34,80,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,80,136) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(34,80,136) x common factors =2 x 136 = 272

LCM(34,80,136) = ( 34 × 80 × 136 ) / 272

LCM(34,80,136) = 369920 / 272

LCM(34,80,136) = 1360


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 909/34, 459/80, 737/136

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 909/34, 459/80, 737/136?

Answer: GCF of Numerators as per given numbers 909/34, 459/80, 737/136 is

GCF of Numerators i.e. for 909,459,737 is 1

LCM of denominators i.e. for 34,80,136 is 1360.

Thus, GCF of Fractions is 1/1360.Finally, GCF of Fractions for 909/34, 459/80, 737/136 is 1/1360.