Greatest Common Factor of 184/414, 536/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 184/414, 536/612

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 184/414,536/612

Given fractions are 184/414,536/612

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 184,536

Greatest Common Factor of Numerators i.e. GCF of 184,536 is 8 .

LCM of Denominators means LCM of 414,612 as per the given fractions.

LCM of 414,612 is 14076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 184,536

GCF of Fractions 184/414,536/612 is 8/14076

2 184, 536
2 92, 268
2 46, 134
23, 67

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 184,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,536 By Matching Biggest Common Factor Method

Factors of 184

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

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

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 184,536 . The biggest common factor number is the GCF number.
So the greatest common factor 184,536 is 8.

Lets's calculate LCM of 414,612

2 414, 612
3 207, 306
3 69, 102
23, 34

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 34 = 14076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/14076

Therefore, the GCF of Fractions 184/414,536/612 is 8/14076

Least Common Multiple of 414,612 with GCF Formula

Least Common Multiple of 414,612 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 414,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,612) = 18

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

GCF(414,612) x common factors =18 x 1 = 18

LCM(414,612) = ( 414 × 612 ) / 18

LCM(414,612) = 253368 / 18

LCM(414,612) = 14076


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 184/414, 536/612

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 184/414, 536/612?

Answer: GCF of Numerators as per given numbers 184/414, 536/612 is

GCF of Numerators i.e. for 184,536 is 8

LCM of denominators i.e. for 414,612 is 14076.

Thus, GCF of Fractions is 8/14076.Finally, GCF of Fractions for 184/414, 536/612 is 8/14076.