Greatest Common Factor of 9189/967, 5228/4092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9189/967, 5228/4092

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 9189/967,5228/4092

Given fractions are 9189/967,5228/4092

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 9189,5228

Greatest Common Factor of Numerators i.e. GCF of 9189,5228 is 1 .

LCM of Denominators means LCM of 967,4092 as per the given fractions.

LCM of 967,4092 is 3956964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9189,5228

GCF of Fractions 9189/967,5228/4092 is 1/3956964

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

Greatest Common Factor of 9189,5228 By Matching Biggest Common Factor Method

Greatest Common Factor of 9189,5228 By Matching Biggest Common Factor Method

Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1,3,9,1021,3063,9189

Factors of 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1,2,4,1307,2614,5228

Greatest Common Factor

We found the factors 9189,5228 . The biggest common factor number is the GCF number.
So the greatest common factor 9189,5228 is 1.

Lets's calculate LCM of 967,4092

Given numbers has no common factors except 1. So, there LCM is their product i.e 3956964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3956964

Therefore, the GCF of Fractions 9189/967,5228/4092 is 1/3956964

Least Common Multiple of 967,4092 with GCF Formula

Least Common Multiple of 967,4092 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 967,4092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,4092) = 1

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

GCF(967,4092) x common factors =1 x 1 = 1

LCM(967,4092) = ( 967 × 4092 ) / 1

LCM(967,4092) = 3956964 / 1

LCM(967,4092) = 3956964


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 9189/967, 5228/4092

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 9189/967, 5228/4092?

Answer: GCF of Numerators as per given numbers 9189/967, 5228/4092 is

GCF of Numerators i.e. for 9189,5228 is 1

LCM of denominators i.e. for 967,4092 is 3956964.

Thus, GCF of Fractions is 1/3956964.Finally, GCF of Fractions for 9189/967, 5228/4092 is 1/3956964.