Greatest Common Factor of 459/32, 340/32, 306/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 459/32, 340/32, 306/836

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 459/32,340/32,306/836

Given fractions are 459/32,340/32,306/836

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 459,340,306

Greatest Common Factor of Numerators i.e. GCF of 459,340,306 is 17 .

LCM of Denominators means LCM of 32,32,836 as per the given fractions.

LCM of 32,32,836 is 6688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 459,340,306

GCF of Fractions 459/32,340/32,306/836 is 17/6688

17 459, 340, 306
27, 20, 18

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 459,340,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,340,306 By Matching Biggest Common Factor Method

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 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 459,340,306 . The biggest common factor number is the GCF number.
So the greatest common factor 459,340,306 is 17.

Lets's calculate LCM of 32,32,836

2 32, 32, 836
2 16, 16, 418
2 8, 8, 209
2 4, 4, 209
2 2, 2, 209
1, 1, 209

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 1 x 209 = 6688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6688

Therefore, the GCF of Fractions 459/32,340/32,306/836 is 17/6688

Least Common Multiple of 32,32,836 with GCF Formula

Least Common Multiple of 32,32,836 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 32,32,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,32,836) = 4

common factors(in case of two or more numbers have common factors) = 32

GCF(32,32,836) x common factors =4 x 32 = 128

LCM(32,32,836) = ( 32 × 32 × 836 ) / 128

LCM(32,32,836) = 856064 / 128

LCM(32,32,836) = 6688


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 459/32, 340/32, 306/836

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 459/32, 340/32, 306/836?

Answer: GCF of Numerators as per given numbers 459/32, 340/32, 306/836 is

GCF of Numerators i.e. for 459,340,306 is 17

LCM of denominators i.e. for 32,32,836 is 6688.

Thus, GCF of Fractions is 17/6688.Finally, GCF of Fractions for 459/32, 340/32, 306/836 is 17/6688.