Greatest Common Factor of 409/839, 175/794, 200/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 409/839, 175/794, 200/162

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 409/839,175/794,200/162

Given fractions are 409/839,175/794,200/162

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 409,175,200

Greatest Common Factor of Numerators i.e. GCF of 409,175,200 is 1 .

LCM of Denominators means LCM of 839,794,162 as per the given fractions.

LCM of 839,794,162 is 53959446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 409,175,200

GCF of Fractions 409/839,175/794,200/162 is 1/53959446

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

Greatest Common Factor of 409,175,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,175,200 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 409,175,200 . The biggest common factor number is the GCF number.
So the greatest common factor 409,175,200 is 1.

Lets's calculate LCM of 839,794,162

2 839, 794, 162
839, 397, 81

∴ So the LCM of the given numbers is 2 x 839 x 397 x 81 = 53959446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53959446

Therefore, the GCF of Fractions 409/839,175/794,200/162 is 1/53959446

Least Common Multiple of 839,794,162 with GCF Formula

Least Common Multiple of 839,794,162 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 839,794,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,794,162) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(839,794,162) x common factors =1 x 2 = 2

LCM(839,794,162) = ( 839 × 794 × 162 ) / 2

LCM(839,794,162) = 107918892 / 2

LCM(839,794,162) = 53959446


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 409/839, 175/794, 200/162

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 409/839, 175/794, 200/162?

Answer: GCF of Numerators as per given numbers 409/839, 175/794, 200/162 is

GCF of Numerators i.e. for 409,175,200 is 1

LCM of denominators i.e. for 839,794,162 is 53959446.

Thus, GCF of Fractions is 1/53959446.Finally, GCF of Fractions for 409/839, 175/794, 200/162 is 1/53959446.