Greatest Common Factor of 306/84, 997/7774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/84, 997/7774

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 306/84,997/7774

Given fractions are 306/84,997/7774

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 306,997

Greatest Common Factor of Numerators i.e. GCF of 306,997 is 1 .

LCM of Denominators means LCM of 84,7774 as per the given fractions.

LCM of 84,7774 is 326508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,997

GCF of Fractions 306/84,997/7774 is 1/326508

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

Greatest Common Factor of 306,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,997 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 306,997 . The biggest common factor number is the GCF number.
So the greatest common factor 306,997 is 1.

Lets's calculate LCM of 84,7774

2 84, 7774
42, 3887

∴ So the LCM of the given numbers is 2 x 42 x 3887 = 326508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326508

Therefore, the GCF of Fractions 306/84,997/7774 is 1/326508

Least Common Multiple of 84,7774 with GCF Formula

Least Common Multiple of 84,7774 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 84,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,7774) = 2

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

GCF(84,7774) x common factors =2 x 1 = 2

LCM(84,7774) = ( 84 × 7774 ) / 2

LCM(84,7774) = 653016 / 2

LCM(84,7774) = 326508


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 306/84, 997/7774

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 306/84, 997/7774?

Answer: GCF of Numerators as per given numbers 306/84, 997/7774 is

GCF of Numerators i.e. for 306,997 is 1

LCM of denominators i.e. for 84,7774 is 326508.

Thus, GCF of Fractions is 1/326508.Finally, GCF of Fractions for 306/84, 997/7774 is 1/326508.