Greatest Common Factor of 9162/164, 2812/5163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9162/164, 2812/5163

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 9162/164,2812/5163

Given fractions are 9162/164,2812/5163

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 9162,2812

Greatest Common Factor of Numerators i.e. GCF of 9162,2812 is 2 .

LCM of Denominators means LCM of 164,5163 as per the given fractions.

LCM of 164,5163 is 846732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9162,2812

GCF of Fractions 9162/164,2812/5163 is 2/846732

2 9162, 2812
4581, 1406

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9162,2812 By Matching Biggest Common Factor Method

Greatest Common Factor of 9162,2812 By Matching Biggest Common Factor Method

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1,2,3,6,9,18,509,1018,1527,3054,4581,9162

Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1,2,4,19,37,38,74,76,148,703,1406,2812

Greatest Common Factor

We found the factors 9162,2812 . The biggest common factor number is the GCF number.
So the greatest common factor 9162,2812 is 2.

Lets's calculate LCM of 164,5163

Given numbers has no common factors except 1. So, there LCM is their product i.e 846732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/846732

Therefore, the GCF of Fractions 9162/164,2812/5163 is 2/846732

Least Common Multiple of 164,5163 with GCF Formula

Least Common Multiple of 164,5163 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 164,5163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,5163) = 1

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

GCF(164,5163) x common factors =1 x 1 = 1

LCM(164,5163) = ( 164 × 5163 ) / 1

LCM(164,5163) = 846732 / 1

LCM(164,5163) = 846732


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 9162/164, 2812/5163

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 9162/164, 2812/5163?

Answer: GCF of Numerators as per given numbers 9162/164, 2812/5163 is

GCF of Numerators i.e. for 9162,2812 is 2

LCM of denominators i.e. for 164,5163 is 846732.

Thus, GCF of Fractions is 2/846732.Finally, GCF of Fractions for 9162/164, 2812/5163 is 2/846732.