Greatest Common Factor of 430/189, 262/341, 205/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/189, 262/341, 205/599

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 430/189,262/341,205/599

Given fractions are 430/189,262/341,205/599

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 430,262,205

Greatest Common Factor of Numerators i.e. GCF of 430,262,205 is 1 .

LCM of Denominators means LCM of 189,341,599 as per the given fractions.

LCM of 189,341,599 is 38604951 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,262,205

GCF of Fractions 430/189,262/341,205/599 is 1/38604951

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

Greatest Common Factor of 430,262,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,262,205 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 430,262,205 . The biggest common factor number is the GCF number.
So the greatest common factor 430,262,205 is 1.

Lets's calculate LCM of 189,341,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 38604951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38604951

Therefore, the GCF of Fractions 430/189,262/341,205/599 is 1/38604951

Least Common Multiple of 189,341,599 with GCF Formula

Least Common Multiple of 189,341,599 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 189,341,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,341,599) = 1

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

GCF(189,341,599) x common factors =1 x 1 = 1

LCM(189,341,599) = ( 189 × 341 × 599 ) / 1

LCM(189,341,599) = 38604951 / 1

LCM(189,341,599) = 38604951


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 430/189, 262/341, 205/599

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 430/189, 262/341, 205/599?

Answer: GCF of Numerators as per given numbers 430/189, 262/341, 205/599 is

GCF of Numerators i.e. for 430,262,205 is 1

LCM of denominators i.e. for 189,341,599 is 38604951.

Thus, GCF of Fractions is 1/38604951.Finally, GCF of Fractions for 430/189, 262/341, 205/599 is 1/38604951.