How to Find GCF of 80/11, 455/67, 283/867?

GCF of 80/11, 455/67, 283/867

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 80/11, 455/67, 283/867 i.e 1/638979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/11, 455/67, 283/867.

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 80/11,455/67,283/867?

Given fractions are 80/11,455/67,283/867

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 80/11,455/67,283/867, numerators are 80,455,283

Denominators are 11,67,867

The GCF of 80,455,283 is 1 .

LCM of 11,67,867 is 638979.

The greatest common factor of 80/11,455/67,283/867 = [GCF of 80,455,283]/[LCM of 11,67,867]= 1/638979

Therefore, the GCF of 80/11,455/67,283/867 is 1/638979.

Greatest Common Factor of 80,455,283

To find the highest common factor of 80,455,283, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The factors of 283 are 1, 283

The HCF of 80,455,283 is 1.

Lets's calculate GCF of 80,455,283

Greatest Common Factor (GCF) of 80,455,283 By Common Division

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

Greatest Common Factor of 80,455,283 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 455

1,5,7,13,35,65,91,455

Now, list down the factors of 283

1,283

Greatest Common Factor

We found the factors 80,455,283 . The biggest common factor number is the GCF number.
So the greatest common factor 80,455,283 is 1.

Lets's calculate LCM of 11,67,867

Lowest Common Multiple of 11,67,867 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 638979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638979

Therefore, the GCF of Fractions 80/11,455/67,283/867 is 1/638979

Least Common Multiple of 11,67,867 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 11,67,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,67,867) = 1

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

GCF(11,67,867) x common factors =1 x 1 = 1

LCM(11,67,867) = ( 11 × 67 × 867 ) / 1

LCM(11,67,867) = 638979 / 1

LCM(11,67,867) = 638979

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 80/11, 455/67, 283/867

1. What is the HCF of 80,455,283?

The HCF of 80,455,283 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 80/11, 455/67, 283/867?

Answer: GCF of Numerators as per given numbers 80/11, 455/67, 283/867 is

GCF of Numerators i.e. for 80,455,283 is 1

LCM of denominators i.e. for 11,67,867 is 638979.

Thus, GCF of Fractions is 1/638979.Finally, GCF of Fractions for 80/11, 455/67, 283/867 is 1/638979.