Greatest Common Factor of 602/604, 8729/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/604, 8729/761

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 602/604,8729/761

Given fractions are 602/604,8729/761

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 602,8729

Greatest Common Factor of Numerators i.e. GCF of 602,8729 is 301 .

LCM of Denominators means LCM of 604,761 as per the given fractions.

LCM of 604,761 is 459644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,8729

GCF of Fractions 602/604,8729/761 is 301/459644

7 602, 8729
43 86, 1247
2, 29

∴ So the GCF of the given numbers is 7 x 43 = 301

Greatest Common Factor of 602,8729 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,8729 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1,7,29,43,203,301,1247,8729

Greatest Common Factor

We found the factors 602,8729 . The biggest common factor number is the GCF number.
So the greatest common factor 602,8729 is 301.

Lets's calculate LCM of 604,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 459644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 301/459644

Therefore, the GCF of Fractions 602/604,8729/761 is 301/459644

Least Common Multiple of 604,761 with GCF Formula

Least Common Multiple of 604,761 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 604,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,761) = 1

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

GCF(604,761) x common factors =1 x 1 = 1

LCM(604,761) = ( 604 × 761 ) / 1

LCM(604,761) = 459644 / 1

LCM(604,761) = 459644


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 602/604, 8729/761

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 602/604, 8729/761?

Answer: GCF of Numerators as per given numbers 602/604, 8729/761 is

GCF of Numerators i.e. for 602,8729 is 301

LCM of denominators i.e. for 604,761 is 459644.

Thus, GCF of Fractions is 301/459644.Finally, GCF of Fractions for 602/604, 8729/761 is 301/459644.