Greatest Common Factor of 681/75, 582/83, 983/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/75, 582/83, 983/517

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 681/75,582/83,983/517

Given fractions are 681/75,582/83,983/517

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 681,582,983

Greatest Common Factor of Numerators i.e. GCF of 681,582,983 is 1 .

LCM of Denominators means LCM of 75,83,517 as per the given fractions.

LCM of 75,83,517 is 3218325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,582,983

GCF of Fractions 681/75,582/83,983/517 is 1/3218325

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

Greatest Common Factor of 681,582,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,582,983 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 681,582,983 . The biggest common factor number is the GCF number.
So the greatest common factor 681,582,983 is 1.

Lets's calculate LCM of 75,83,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 3218325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3218325

Therefore, the GCF of Fractions 681/75,582/83,983/517 is 1/3218325

Least Common Multiple of 75,83,517 with GCF Formula

Least Common Multiple of 75,83,517 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 75,83,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,83,517) = 1

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

GCF(75,83,517) x common factors =1 x 1 = 1

LCM(75,83,517) = ( 75 × 83 × 517 ) / 1

LCM(75,83,517) = 3218325 / 1

LCM(75,83,517) = 3218325


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 681/75, 582/83, 983/517

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 681/75, 582/83, 983/517?

Answer: GCF of Numerators as per given numbers 681/75, 582/83, 983/517 is

GCF of Numerators i.e. for 681,582,983 is 1

LCM of denominators i.e. for 75,83,517 is 3218325.

Thus, GCF of Fractions is 1/3218325.Finally, GCF of Fractions for 681/75, 582/83, 983/517 is 1/3218325.