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GCF of 319/866, 8337/834

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 319/866, 8337/834 i.e 1/361122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/866, 8337/834.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 319/866,8337/834?

Given fractions are 319/866,8337/834

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 319/866,8337/834, numerators are 319,8337

Denominators are 866,834

The GCF of 319,8337 is 1 .

LCM of 866,834 is 361122.

The greatest common factor of 319/866,8337/834 = [GCF of 319,8337]/[LCM of 866,834]= 1/361122

Therefore, the GCF of 319/866,8337/834 is 1/361122.

Greatest Common Factor of 319,8337

To find the highest common factor of 319,8337, we have to find the factors of both numbers and list the highest common factor.

The factors of 319 are 1, 11, 29, 319

The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337

The HCF of 319,8337 is 1.

Lets's calculate GCF of 319,8337

Greatest Common Factor (GCF) of 319,8337 By Common Division

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

Greatest Common Factor of 319,8337 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,8337 By Matching Biggest Common Factor Method

Now, list down the factors of 319

:

1,11,29,319

Now, list down the factors of 8337

:

1,3,7,21,397,1191,2779,8337

Greatest Common Factor

We found the factors 319,8337 . The biggest common factor number is the GCF number.
So the greatest common factor 319,8337 is 1.

Lets's calculate LCM of 866,834

Lowest Common Multiple of 866,834 using Common Division

2 866, 834
433, 417

∴ So the LCM of the given numbers is 2 x 433 x 417 = 361122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361122

Therefore, the GCF of Fractions 319/866,8337/834 is 1/361122

Least Common Multiple of 866,834 with GCF Formula

Least Common Multiple of 866,834 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 866,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,834) = 2

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

GCF(866,834) x common factors =2 x 1 = 2

LCM(866,834) = ( 866 × 834 ) / 2

LCM(866,834) = 722244 / 2

LCM(866,834) = 361122


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 319/866, 8337/834

1. What is the HCF of 319,8337?

The HCF of 319,8337 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 319/866, 8337/834?

Answer: GCF of Numerators as per given numbers 319/866, 8337/834 is

GCF of Numerators i.e. for 319,8337 is 1

LCM of denominators i.e. for 866,834 is 361122.

Thus, GCF of Fractions is 1/361122.Finally, GCF of Fractions for 319/866, 8337/834 is 1/361122.