Greatest Common Factor of 284/23, 414/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/23, 414/356

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 284/23,414/356

Given fractions are 284/23,414/356

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 284,414

Greatest Common Factor of Numerators i.e. GCF of 284,414 is 2 .

LCM of Denominators means LCM of 23,356 as per the given fractions.

LCM of 23,356 is 8188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,414

GCF of Fractions 284/23,414/356 is 2/8188

2 284, 414
142, 207

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

Greatest Common Factor of 284,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,414 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 284,414 . The biggest common factor number is the GCF number.
So the greatest common factor 284,414 is 2.

Lets's calculate LCM of 23,356

Given numbers has no common factors except 1. So, there LCM is their product i.e 8188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8188

Therefore, the GCF of Fractions 284/23,414/356 is 2/8188

Least Common Multiple of 23,356 with GCF Formula

Least Common Multiple of 23,356 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 23,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,356) = 1

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

GCF(23,356) x common factors =1 x 1 = 1

LCM(23,356) = ( 23 × 356 ) / 1

LCM(23,356) = 8188 / 1

LCM(23,356) = 8188


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 284/23, 414/356

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 284/23, 414/356?

Answer: GCF of Numerators as per given numbers 284/23, 414/356 is

GCF of Numerators i.e. for 284,414 is 2

LCM of denominators i.e. for 23,356 is 8188.

Thus, GCF of Fractions is 2/8188.Finally, GCF of Fractions for 284/23, 414/356 is 2/8188.