Greatest Common Factor of 1203/22, 8064/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1203/22, 8064/354

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 1203/22,8064/354

Given fractions are 1203/22,8064/354

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 1203,8064

Greatest Common Factor of Numerators i.e. GCF of 1203,8064 is 3 .

LCM of Denominators means LCM of 22,354 as per the given fractions.

LCM of 22,354 is 3894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1203,8064

GCF of Fractions 1203/22,8064/354 is 3/3894

3 1203, 8064
401, 2688

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1203,8064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1203,8064 By Matching Biggest Common Factor Method

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1,3,401,1203

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

Greatest Common Factor

We found the factors 1203,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 1203,8064 is 3.

Lets's calculate LCM of 22,354

2 22, 354
11, 177

∴ So the LCM of the given numbers is 2 x 11 x 177 = 3894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3894

Therefore, the GCF of Fractions 1203/22,8064/354 is 3/3894

Least Common Multiple of 22,354 with GCF Formula

Least Common Multiple of 22,354 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 22,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,354) = 2

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

GCF(22,354) x common factors =2 x 1 = 2

LCM(22,354) = ( 22 × 354 ) / 2

LCM(22,354) = 7788 / 2

LCM(22,354) = 3894


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 1203/22, 8064/354

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 1203/22, 8064/354?

Answer: GCF of Numerators as per given numbers 1203/22, 8064/354 is

GCF of Numerators i.e. for 1203,8064 is 3

LCM of denominators i.e. for 22,354 is 3894.

Thus, GCF of Fractions is 3/3894.Finally, GCF of Fractions for 1203/22, 8064/354 is 3/3894.