How to Find GCF of 80/94, 555/11, 421/359?

GCF of 80/94, 555/11, 421/359

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 80/94, 555/11, 421/359 i.e 1/371206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/94, 555/11, 421/359.

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 80/94,555/11,421/359?

Given fractions are 80/94,555/11,421/359

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 80/94,555/11,421/359, numerators are 80,555,421

Denominators are 94,11,359

The GCF of 80,555,421 is 1 .

LCM of 94,11,359 is 371206.

The greatest common factor of 80/94,555/11,421/359 = [GCF of 80,555,421]/[LCM of 94,11,359]= 1/371206

Therefore, the GCF of 80/94,555/11,421/359 is 1/371206.

Greatest Common Factor of 80,555,421

To find the highest common factor of 80,555,421, 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 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 421 are 1, 421

The HCF of 80,555,421 is 1.

Lets's calculate GCF of 80,555,421

Greatest Common Factor (GCF) of 80,555,421 By Common Division

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

Greatest Common Factor of 80,555,421 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 555

1,3,5,15,37,111,185,555

Now, list down the factors of 421

1,421

Greatest Common Factor

We found the factors 80,555,421 . The biggest common factor number is the GCF number.
So the greatest common factor 80,555,421 is 1.

Lets's calculate LCM of 94,11,359

Lowest Common Multiple of 94,11,359 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 371206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371206

Therefore, the GCF of Fractions 80/94,555/11,421/359 is 1/371206

Least Common Multiple of 94,11,359 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 94,11,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,11,359) = 1

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

GCF(94,11,359) x common factors =1 x 1 = 1

LCM(94,11,359) = ( 94 × 11 × 359 ) / 1

LCM(94,11,359) = 371206 / 1

LCM(94,11,359) = 371206

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 80/94, 555/11, 421/359

1. What is the HCF of 80,555,421?

The HCF of 80,555,421 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 80/94, 555/11, 421/359?

Answer: GCF of Numerators as per given numbers 80/94, 555/11, 421/359 is

GCF of Numerators i.e. for 80,555,421 is 1

LCM of denominators i.e. for 94,11,359 is 371206.

Thus, GCF of Fractions is 1/371206.Finally, GCF of Fractions for 80/94, 555/11, 421/359 is 1/371206.