Greatest Common Factor of 609/781, 145/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/781, 145/284

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 609/781,145/284

Given fractions are 609/781,145/284

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 609,145

Greatest Common Factor of Numerators i.e. GCF of 609,145 is 29 .

LCM of Denominators means LCM of 781,284 as per the given fractions.

LCM of 781,284 is 3124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,145

GCF of Fractions 609/781,145/284 is 29/3124

29 609, 145
21, 5

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 609,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,145 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 609,145 . The biggest common factor number is the GCF number.
So the greatest common factor 609,145 is 29.

Lets's calculate LCM of 781,284

71 781, 284
11, 4

∴ So the LCM of the given numbers is 71 x 11 x 4 = 3124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/3124

Therefore, the GCF of Fractions 609/781,145/284 is 29/3124

Least Common Multiple of 781,284 with GCF Formula

Least Common Multiple of 781,284 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 781,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,284) = 71

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

GCF(781,284) x common factors =71 x 1 = 71

LCM(781,284) = ( 781 × 284 ) / 71

LCM(781,284) = 221804 / 71

LCM(781,284) = 3124


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 609/781, 145/284

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 609/781, 145/284?

Answer: GCF of Numerators as per given numbers 609/781, 145/284 is

GCF of Numerators i.e. for 609,145 is 29

LCM of denominators i.e. for 781,284 is 3124.

Thus, GCF of Fractions is 29/3124.Finally, GCF of Fractions for 609/781, 145/284 is 29/3124.