Greatest Common Factor of 8693/769, 1383/6000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8693/769, 1383/6000

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 8693/769,1383/6000

Given fractions are 8693/769,1383/6000

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 8693,1383

Greatest Common Factor of Numerators i.e. GCF of 8693,1383 is 1 .

LCM of Denominators means LCM of 769,6000 as per the given fractions.

LCM of 769,6000 is 4614000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8693,1383

GCF of Fractions 8693/769,1383/6000 is 1/4614000

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

Greatest Common Factor of 8693,1383 By Matching Biggest Common Factor Method

Greatest Common Factor of 8693,1383 By Matching Biggest Common Factor Method

Factors of 8693

List of positive integer factors of 8693 that divides 8693 without a remainder.

1,8693

Factors of 1383

List of positive integer factors of 1383 that divides 1383 without a remainder.

1,3,461,1383

Greatest Common Factor

We found the factors 8693,1383 . The biggest common factor number is the GCF number.
So the greatest common factor 8693,1383 is 1.

Lets's calculate LCM of 769,6000

Given numbers has no common factors except 1. So, there LCM is their product i.e 4614000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4614000

Therefore, the GCF of Fractions 8693/769,1383/6000 is 1/4614000

Least Common Multiple of 769,6000 with GCF Formula

Least Common Multiple of 769,6000 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 769,6000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,6000) = 1

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

GCF(769,6000) x common factors =1 x 1 = 1

LCM(769,6000) = ( 769 × 6000 ) / 1

LCM(769,6000) = 4614000 / 1

LCM(769,6000) = 4614000


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 8693/769, 1383/6000

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 8693/769, 1383/6000?

Answer: GCF of Numerators as per given numbers 8693/769, 1383/6000 is

GCF of Numerators i.e. for 8693,1383 is 1

LCM of denominators i.e. for 769,6000 is 4614000.

Thus, GCF of Fractions is 1/4614000.Finally, GCF of Fractions for 8693/769, 1383/6000 is 1/4614000.