Greatest Common Factor of 182/16, 420/4188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/16, 420/4188

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 182/16,420/4188

Given fractions are 182/16,420/4188

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 182,420

Greatest Common Factor of Numerators i.e. GCF of 182,420 is 14 .

LCM of Denominators means LCM of 16,4188 as per the given fractions.

LCM of 16,4188 is 16752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,420

GCF of Fractions 182/16,420/4188 is 14/16752

2 182, 420
7 91, 210
13, 30

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 182,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,420 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 182,420 . The biggest common factor number is the GCF number.
So the greatest common factor 182,420 is 14.

Lets's calculate LCM of 16,4188

2 16, 4188
2 8, 2094
4, 1047

∴ So the LCM of the given numbers is 2 x 2 x 4 x 1047 = 16752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/16752

Therefore, the GCF of Fractions 182/16,420/4188 is 14/16752

Least Common Multiple of 16,4188 with GCF Formula

Least Common Multiple of 16,4188 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 16,4188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,4188) = 4

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

GCF(16,4188) x common factors =4 x 1 = 4

LCM(16,4188) = ( 16 × 4188 ) / 4

LCM(16,4188) = 67008 / 4

LCM(16,4188) = 16752


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 182/16, 420/4188

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 182/16, 420/4188?

Answer: GCF of Numerators as per given numbers 182/16, 420/4188 is

GCF of Numerators i.e. for 182,420 is 14

LCM of denominators i.e. for 16,4188 is 16752.

Thus, GCF of Fractions is 14/16752.Finally, GCF of Fractions for 182/16, 420/4188 is 14/16752.