Greatest Common Factor of 284/22, 201/89, 332/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/22, 201/89, 332/705

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 284/22,201/89,332/705

Given fractions are 284/22,201/89,332/705

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 284,201,332

Greatest Common Factor of Numerators i.e. GCF of 284,201,332 is 1 .

LCM of Denominators means LCM of 22,89,705 as per the given fractions.

LCM of 22,89,705 is 1380390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,201,332

GCF of Fractions 284/22,201/89,332/705 is 1/1380390

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 284,201,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,201,332 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 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 284,201,332 . The biggest common factor number is the GCF number.
So the greatest common factor 284,201,332 is 1.

Lets's calculate LCM of 22,89,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 1380390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1380390

Therefore, the GCF of Fractions 284/22,201/89,332/705 is 1/1380390

Least Common Multiple of 22,89,705 with GCF Formula

Least Common Multiple of 22,89,705 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 22,89,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,89,705) = 1

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

GCF(22,89,705) x common factors =1 x 1 = 1

LCM(22,89,705) = ( 22 × 89 × 705 ) / 1

LCM(22,89,705) = 1380390 / 1

LCM(22,89,705) = 1380390


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 284/22, 201/89, 332/705

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 284/22, 201/89, 332/705?

Answer: GCF of Numerators as per given numbers 284/22, 201/89, 332/705 is

GCF of Numerators i.e. for 284,201,332 is 1

LCM of denominators i.e. for 22,89,705 is 1380390.

Thus, GCF of Fractions is 1/1380390.Finally, GCF of Fractions for 284/22, 201/89, 332/705 is 1/1380390.