Greatest Common Factor of 1821/166, 5346/5023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1821/166, 5346/5023

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 1821/166,5346/5023

Given fractions are 1821/166,5346/5023

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 1821,5346

Greatest Common Factor of Numerators i.e. GCF of 1821,5346 is 3 .

LCM of Denominators means LCM of 166,5023 as per the given fractions.

LCM of 166,5023 is 833818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1821,5346

GCF of Fractions 1821/166,5346/5023 is 3/833818

3 1821, 5346
607, 1782

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

Greatest Common Factor of 1821,5346 By Matching Biggest Common Factor Method

Greatest Common Factor of 1821,5346 By Matching Biggest Common Factor Method

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1,3,607,1821

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors 1821,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 1821,5346 is 3.

Lets's calculate LCM of 166,5023

Given numbers has no common factors except 1. So, there LCM is their product i.e 833818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/833818

Therefore, the GCF of Fractions 1821/166,5346/5023 is 3/833818

Least Common Multiple of 166,5023 with GCF Formula

Least Common Multiple of 166,5023 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 166,5023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,5023) = 1

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

GCF(166,5023) x common factors =1 x 1 = 1

LCM(166,5023) = ( 166 × 5023 ) / 1

LCM(166,5023) = 833818 / 1

LCM(166,5023) = 833818


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 1821/166, 5346/5023

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 1821/166, 5346/5023?

Answer: GCF of Numerators as per given numbers 1821/166, 5346/5023 is

GCF of Numerators i.e. for 1821,5346 is 3

LCM of denominators i.e. for 166,5023 is 833818.

Thus, GCF of Fractions is 3/833818.Finally, GCF of Fractions for 1821/166, 5346/5023 is 3/833818.