Greatest Common Factor of 1589/74, 4077/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1589/74, 4077/206

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 1589/74,4077/206

Given fractions are 1589/74,4077/206

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 1589,4077

Greatest Common Factor of Numerators i.e. GCF of 1589,4077 is 1 .

LCM of Denominators means LCM of 74,206 as per the given fractions.

LCM of 74,206 is 7622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1589,4077

GCF of Fractions 1589/74,4077/206 is 1/7622

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

Greatest Common Factor of 1589,4077 By Matching Biggest Common Factor Method

Greatest Common Factor of 1589,4077 By Matching Biggest Common Factor Method

Factors of 1589

List of positive integer factors of 1589 that divides 1589 without a remainder.

1,7,227,1589

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1,3,9,27,151,453,1359,4077

Greatest Common Factor

We found the factors 1589,4077 . The biggest common factor number is the GCF number.
So the greatest common factor 1589,4077 is 1.

Lets's calculate LCM of 74,206

2 74, 206
37, 103

∴ So the LCM of the given numbers is 2 x 37 x 103 = 7622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7622

Therefore, the GCF of Fractions 1589/74,4077/206 is 1/7622

Least Common Multiple of 74,206 with GCF Formula

Least Common Multiple of 74,206 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 74,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,206) = 2

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

GCF(74,206) x common factors =2 x 1 = 2

LCM(74,206) = ( 74 × 206 ) / 2

LCM(74,206) = 15244 / 2

LCM(74,206) = 7622


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 1589/74, 4077/206

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 1589/74, 4077/206?

Answer: GCF of Numerators as per given numbers 1589/74, 4077/206 is

GCF of Numerators i.e. for 1589,4077 is 1

LCM of denominators i.e. for 74,206 is 7622.

Thus, GCF of Fractions is 1/7622.Finally, GCF of Fractions for 1589/74, 4077/206 is 1/7622.