Greatest Common Factor of 416/824, 589/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/824, 589/201

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 416/824,589/201

Given fractions are 416/824,589/201

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 416,589

Greatest Common Factor of Numerators i.e. GCF of 416,589 is 1 .

LCM of Denominators means LCM of 824,201 as per the given fractions.

LCM of 824,201 is 165624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,589

GCF of Fractions 416/824,589/201 is 1/165624

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

Greatest Common Factor of 416,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,589 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 416,589 . The biggest common factor number is the GCF number.
So the greatest common factor 416,589 is 1.

Lets's calculate LCM of 824,201

Given numbers has no common factors except 1. So, there LCM is their product i.e 165624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165624

Therefore, the GCF of Fractions 416/824,589/201 is 1/165624

Least Common Multiple of 824,201 with GCF Formula

Least Common Multiple of 824,201 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 824,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,201) = 1

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

GCF(824,201) x common factors =1 x 1 = 1

LCM(824,201) = ( 824 × 201 ) / 1

LCM(824,201) = 165624 / 1

LCM(824,201) = 165624


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 416/824, 589/201

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 416/824, 589/201?

Answer: GCF of Numerators as per given numbers 416/824, 589/201 is

GCF of Numerators i.e. for 416,589 is 1

LCM of denominators i.e. for 824,201 is 165624.

Thus, GCF of Fractions is 1/165624.Finally, GCF of Fractions for 416/824, 589/201 is 1/165624.