Greatest Common Factor of 6769/604, 3184/1634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6769/604, 3184/1634

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 6769/604,3184/1634

Given fractions are 6769/604,3184/1634

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 6769,3184

Greatest Common Factor of Numerators i.e. GCF of 6769,3184 is 1 .

LCM of Denominators means LCM of 604,1634 as per the given fractions.

LCM of 604,1634 is 493468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6769,3184

GCF of Fractions 6769/604,3184/1634 is 1/493468

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

Greatest Common Factor of 6769,3184 By Matching Biggest Common Factor Method

Greatest Common Factor of 6769,3184 By Matching Biggest Common Factor Method

Factors of 6769

List of positive integer factors of 6769 that divides 6769 without a remainder.

1,7,967,6769

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1,2,4,8,16,199,398,796,1592,3184

Greatest Common Factor

We found the factors 6769,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 6769,3184 is 1.

Lets's calculate LCM of 604,1634

2 604, 1634
302, 817

∴ So the LCM of the given numbers is 2 x 302 x 817 = 493468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493468

Therefore, the GCF of Fractions 6769/604,3184/1634 is 1/493468

Least Common Multiple of 604,1634 with GCF Formula

Least Common Multiple of 604,1634 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 604,1634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,1634) = 2

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

GCF(604,1634) x common factors =2 x 1 = 2

LCM(604,1634) = ( 604 × 1634 ) / 2

LCM(604,1634) = 986936 / 2

LCM(604,1634) = 493468


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 6769/604, 3184/1634

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 6769/604, 3184/1634?

Answer: GCF of Numerators as per given numbers 6769/604, 3184/1634 is

GCF of Numerators i.e. for 6769,3184 is 1

LCM of denominators i.e. for 604,1634 is 493468.

Thus, GCF of Fractions is 1/493468.Finally, GCF of Fractions for 6769/604, 3184/1634 is 1/493468.