Greatest Common Factor of 8064/34, 4326/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8064/34, 4326/953

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 8064/34,4326/953

Given fractions are 8064/34,4326/953

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 8064,4326

Greatest Common Factor of Numerators i.e. GCF of 8064,4326 is 42 .

LCM of Denominators means LCM of 34,953 as per the given fractions.

LCM of 34,953 is 32402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8064,4326

GCF of Fractions 8064/34,4326/953 is 42/32402

2 8064, 4326
3 4032, 2163
7 1344, 721
192, 103

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 8064,4326 By Matching Biggest Common Factor Method

Greatest Common Factor of 8064,4326 By Matching Biggest Common Factor Method

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Greatest Common Factor

We found the factors 8064,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 8064,4326 is 42.

Lets's calculate LCM of 34,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 32402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/32402

Therefore, the GCF of Fractions 8064/34,4326/953 is 42/32402

Least Common Multiple of 34,953 with GCF Formula

Least Common Multiple of 34,953 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 34,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,953) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(34,953) x common factors =1 x 1 = 1

LCM(34,953) = ( 34 × 953 ) / 1

LCM(34,953) = 32402 / 1

LCM(34,953) = 32402


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 8064/34, 4326/953

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 8064/34, 4326/953?

Answer: GCF of Numerators as per given numbers 8064/34, 4326/953 is

GCF of Numerators i.e. for 8064,4326 is 42

LCM of denominators i.e. for 34,953 is 32402.

Thus, GCF of Fractions is 42/32402.Finally, GCF of Fractions for 8064/34, 4326/953 is 42/32402.