How to Find GCF of 83/808, 71/666, 274/963?

GCF of 83/808, 71/666, 274/963

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 83/808, 71/666, 274/963 i.e 1/28789848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/808, 71/666, 274/963.

Enter two or more fractions separated by "commas"

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

What is the GCF of 83/808,71/666,274/963?

Given fractions are 83/808,71/666,274/963

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 83/808,71/666,274/963, numerators are 83,71,274

Denominators are 808,666,963

The GCF of 83,71,274 is 1 .

LCM of 808,666,963 is 28789848.

The greatest common factor of 83/808,71/666,274/963 = [GCF of 83,71,274]/[LCM of 808,666,963]= 1/28789848

Therefore, the GCF of 83/808,71/666,274/963 is 1/28789848.

Greatest Common Factor of 83,71,274

To find the highest common factor of 83,71,274, we have to find the factors of both numbers and list the highest common factor.

The factors of 83 are 1, 83

The factors of 71 are 1, 71

The factors of 274 are 1, 2, 137, 274

The HCF of 83,71,274 is 1.

Lets's calculate GCF of 83,71,274

Greatest Common Factor (GCF) of 83,71,274 By Common Division

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

Greatest Common Factor of 83,71,274 By Matching Biggest Common Factor Method

Now, list down the factors of 83

1,83

Now, list down the factors of 71

1,71

Now, list down the factors of 274

1,2,137,274

Greatest Common Factor

We found the factors 83,71,274 . The biggest common factor number is the GCF number.
So the greatest common factor 83,71,274 is 1.

Lets's calculate LCM of 808,666,963

Lowest Common Multiple of 808,666,963 using Common Division

2	808, 666, 963
3	404, 333, 963
3	404, 111, 321
	404, 37, 107

∴ So the LCM of the given numbers is 2 x 3 x 3 x 404 x 37 x 107 = 28789848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28789848

Therefore, the GCF of Fractions 83/808,71/666,274/963 is 1/28789848

Least Common Multiple of 808,666,963 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 808,666,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,666,963) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(808,666,963) x common factors =1 x 18 = 18

LCM(808,666,963) = ( 808 × 666 × 963 ) / 18

LCM(808,666,963) = 518217264 / 18

LCM(808,666,963) = 28789848

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 83/808, 71/666, 274/963

1. What is the HCF of 83,71,274?

The HCF of 83,71,274 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 83/808, 71/666, 274/963?

Answer: GCF of Numerators as per given numbers 83/808, 71/666, 274/963 is

GCF of Numerators i.e. for 83,71,274 is 1

LCM of denominators i.e. for 808,666,963 is 28789848.

Thus, GCF of Fractions is 1/28789848.Finally, GCF of Fractions for 83/808, 71/666, 274/963 is 1/28789848.