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GCF of 31/16, 302/84, 839/233

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 31/16, 302/84, 839/233 i.e 1/78288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/16, 302/84, 839/233.

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 31/16,302/84,839/233?

Given fractions are 31/16,302/84,839/233

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 31/16,302/84,839/233, numerators are 31,302,839

Denominators are 16,84,233

The GCF of 31,302,839 is 1 .

LCM of 16,84,233 is 78288.

The greatest common factor of 31/16,302/84,839/233 = [GCF of 31,302,839]/[LCM of 16,84,233]= 1/78288

Therefore, the GCF of 31/16,302/84,839/233 is 1/78288.

Greatest Common Factor of 31,302,839

To find the highest common factor of 31,302,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 31 are 1, 31

The factors of 302 are 1, 2, 151, 302

The factors of 839 are 1, 839

The HCF of 31,302,839 is 1.

Lets's calculate GCF of 31,302,839

Greatest Common Factor (GCF) of 31,302,839 By Common Division

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

Greatest Common Factor of 31,302,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,302,839 By Matching Biggest Common Factor Method

Now, list down the factors of 31

:

1,31

Now, list down the factors of 302

:

1,2,151,302

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 31,302,839 . The biggest common factor number is the GCF number.
So the greatest common factor 31,302,839 is 1.


Lets's calculate LCM of 16,84,233

Lowest Common Multiple of 16,84,233 using Common Division

2 16, 84, 233
2 8, 42, 233
4, 21, 233

∴ So the LCM of the given numbers is 2 x 2 x 4 x 21 x 233 = 78288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78288

Therefore, the GCF of Fractions 31/16,302/84,839/233 is 1/78288

Least Common Multiple of 16,84,233 with GCF Formula

Least Common Multiple of 16,84,233 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 16,84,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,84,233) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,84,233) x common factors =1 x 4 = 4

LCM(16,84,233) = ( 16 × 84 × 233 ) / 4

LCM(16,84,233) = 313152 / 4

LCM(16,84,233) = 78288


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 31/16, 302/84, 839/233

1. What is the HCF of 31,302,839?

The HCF of 31,302,839 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 31/16, 302/84, 839/233?

Answer: GCF of Numerators as per given numbers 31/16, 302/84, 839/233 is

GCF of Numerators i.e. for 31,302,839 is 1

LCM of denominators i.e. for 16,84,233 is 78288.

Thus, GCF of Fractions is 1/78288.Finally, GCF of Fractions for 31/16, 302/84, 839/233 is 1/78288.