Greatest Common Factor of 1789/432, 8295/6617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1789/432, 8295/6617

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 1789/432,8295/6617

Given fractions are 1789/432,8295/6617

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 1789,8295

Greatest Common Factor of Numerators i.e. GCF of 1789,8295 is 1 .

LCM of Denominators means LCM of 432,6617 as per the given fractions.

LCM of 432,6617 is 2858544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1789,8295

GCF of Fractions 1789/432,8295/6617 is 1/2858544

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

Greatest Common Factor of 1789,8295 By Matching Biggest Common Factor Method

Greatest Common Factor of 1789,8295 By Matching Biggest Common Factor Method

Factors of 1789

List of positive integer factors of 1789 that divides 1789 without a remainder.

1,1789

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295

Greatest Common Factor

We found the factors 1789,8295 . The biggest common factor number is the GCF number.
So the greatest common factor 1789,8295 is 1.

Lets's calculate LCM of 432,6617

Given numbers has no common factors except 1. So, there LCM is their product i.e 2858544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2858544

Therefore, the GCF of Fractions 1789/432,8295/6617 is 1/2858544

Least Common Multiple of 432,6617 with GCF Formula

Least Common Multiple of 432,6617 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 432,6617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,6617) = 1

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

GCF(432,6617) x common factors =1 x 1 = 1

LCM(432,6617) = ( 432 × 6617 ) / 1

LCM(432,6617) = 2858544 / 1

LCM(432,6617) = 2858544


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 1789/432, 8295/6617

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 1789/432, 8295/6617?

Answer: GCF of Numerators as per given numbers 1789/432, 8295/6617 is

GCF of Numerators i.e. for 1789,8295 is 1

LCM of denominators i.e. for 432,6617 is 2858544.

Thus, GCF of Fractions is 1/2858544.Finally, GCF of Fractions for 1789/432, 8295/6617 is 1/2858544.