Greatest Common Factor of 5814/176, 1323/8738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5814/176, 1323/8738

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 5814/176,1323/8738

Given fractions are 5814/176,1323/8738

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 5814,1323

Greatest Common Factor of Numerators i.e. GCF of 5814,1323 is 9 .

LCM of Denominators means LCM of 176,8738 as per the given fractions.

LCM of 176,8738 is 768944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5814,1323

GCF of Fractions 5814/176,1323/8738 is 9/768944

3 5814, 1323
3 1938, 441
646, 147

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5814,1323 By Matching Biggest Common Factor Method

Greatest Common Factor of 5814,1323 By Matching Biggest Common Factor Method

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Greatest Common Factor

We found the factors 5814,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 5814,1323 is 9.

Lets's calculate LCM of 176,8738

2 176, 8738
88, 4369

∴ So the LCM of the given numbers is 2 x 88 x 4369 = 768944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/768944

Therefore, the GCF of Fractions 5814/176,1323/8738 is 9/768944

Least Common Multiple of 176,8738 with GCF Formula

Least Common Multiple of 176,8738 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 176,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,8738) = 2

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

GCF(176,8738) x common factors =2 x 1 = 2

LCM(176,8738) = ( 176 × 8738 ) / 2

LCM(176,8738) = 1537888 / 2

LCM(176,8738) = 768944


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 5814/176, 1323/8738

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 5814/176, 1323/8738?

Answer: GCF of Numerators as per given numbers 5814/176, 1323/8738 is

GCF of Numerators i.e. for 5814,1323 is 9

LCM of denominators i.e. for 176,8738 is 768944.

Thus, GCF of Fractions is 9/768944.Finally, GCF of Fractions for 5814/176, 1323/8738 is 9/768944.