Greatest Common Factor of 186/5246, 184/4211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 186/5246, 184/4211

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 186/5246,184/4211

Given fractions are 186/5246,184/4211

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 186,184

Greatest Common Factor of Numerators i.e. GCF of 186,184 is 2 .

LCM of Denominators means LCM of 5246,4211 as per the given fractions.

LCM of 5246,4211 is 22090906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 186,184

GCF of Fractions 186/5246,184/4211 is 2/22090906

2 186, 184
93, 92

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

Greatest Common Factor of 186,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,184 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 186,184 . The biggest common factor number is the GCF number.
So the greatest common factor 186,184 is 2.

Lets's calculate LCM of 5246,4211

Given numbers has no common factors except 1. So, there LCM is their product i.e 22090906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22090906

Therefore, the GCF of Fractions 186/5246,184/4211 is 2/22090906

Least Common Multiple of 5246,4211 with GCF Formula

Least Common Multiple of 5246,4211 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 5246,4211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5246,4211) = 1

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

GCF(5246,4211) x common factors =1 x 1 = 1

LCM(5246,4211) = ( 5246 × 4211 ) / 1

LCM(5246,4211) = 22090906 / 1

LCM(5246,4211) = 22090906


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 186/5246, 184/4211

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 186/5246, 184/4211?

Answer: GCF of Numerators as per given numbers 186/5246, 184/4211 is

GCF of Numerators i.e. for 186,184 is 2

LCM of denominators i.e. for 5246,4211 is 22090906.

Thus, GCF of Fractions is 2/22090906.Finally, GCF of Fractions for 186/5246, 184/4211 is 2/22090906.