Greatest Common Factor of 8869/345, 9384/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8869/345, 9384/922

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 8869/345,9384/922

Given fractions are 8869/345,9384/922

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 8869,9384

Greatest Common Factor of Numerators i.e. GCF of 8869,9384 is 1 .

LCM of Denominators means LCM of 345,922 as per the given fractions.

LCM of 345,922 is 318090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8869,9384

GCF of Fractions 8869/345,9384/922 is 1/318090

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

Greatest Common Factor of 8869,9384 By Matching Biggest Common Factor Method

Greatest Common Factor of 8869,9384 By Matching Biggest Common Factor Method

Factors of 8869

List of positive integer factors of 8869 that divides 8869 without a remainder.

1,7,49,181,1267,8869

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Greatest Common Factor

We found the factors 8869,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 8869,9384 is 1.

Lets's calculate LCM of 345,922

Given numbers has no common factors except 1. So, there LCM is their product i.e 318090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318090

Therefore, the GCF of Fractions 8869/345,9384/922 is 1/318090

Least Common Multiple of 345,922 with GCF Formula

Least Common Multiple of 345,922 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 345,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,922) = 1

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

GCF(345,922) x common factors =1 x 1 = 1

LCM(345,922) = ( 345 × 922 ) / 1

LCM(345,922) = 318090 / 1

LCM(345,922) = 318090


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 8869/345, 9384/922

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 8869/345, 9384/922?

Answer: GCF of Numerators as per given numbers 8869/345, 9384/922 is

GCF of Numerators i.e. for 8869,9384 is 1

LCM of denominators i.e. for 345,922 is 318090.

Thus, GCF of Fractions is 1/318090.Finally, GCF of Fractions for 8869/345, 9384/922 is 1/318090.