How to Find GCF of 33/40, 28/89, 685/401?

GCF of 33/40, 28/89, 685/401

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 33/40, 28/89, 685/401 i.e 1/1427560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/40, 28/89, 685/401.

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 33/40,28/89,685/401?

Given fractions are 33/40,28/89,685/401

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 33/40,28/89,685/401, numerators are 33,28,685

Denominators are 40,89,401

The GCF of 33,28,685 is 1 .

LCM of 40,89,401 is 1427560.

The greatest common factor of 33/40,28/89,685/401 = [GCF of 33,28,685]/[LCM of 40,89,401]= 1/1427560

Therefore, the GCF of 33/40,28/89,685/401 is 1/1427560.

Greatest Common Factor of 33,28,685

To find the highest common factor of 33,28,685, we have to find the factors of both numbers and list the highest common factor.

The factors of 33 are 1, 3, 11, 33

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 685 are 1, 5, 137, 685

The HCF of 33,28,685 is 1.

Lets's calculate GCF of 33,28,685

Greatest Common Factor (GCF) of 33,28,685 By Common Division

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

Greatest Common Factor of 33,28,685 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 685

1,5,137,685

Greatest Common Factor

We found the factors 33,28,685 . The biggest common factor number is the GCF number.
So the greatest common factor 33,28,685 is 1.

Lets's calculate LCM of 40,89,401

Lowest Common Multiple of 40,89,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1427560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1427560

Therefore, the GCF of Fractions 33/40,28/89,685/401 is 1/1427560

Least Common Multiple of 40,89,401 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 40,89,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,89,401) = 1

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

GCF(40,89,401) x common factors =1 x 1 = 1

LCM(40,89,401) = ( 40 × 89 × 401 ) / 1

LCM(40,89,401) = 1427560 / 1

LCM(40,89,401) = 1427560

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 33/40, 28/89, 685/401

1. What is the HCF of 33,28,685?

The HCF of 33,28,685 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 33/40, 28/89, 685/401?

Answer: GCF of Numerators as per given numbers 33/40, 28/89, 685/401 is

GCF of Numerators i.e. for 33,28,685 is 1

LCM of denominators i.e. for 40,89,401 is 1427560.

Thus, GCF of Fractions is 1/1427560.Finally, GCF of Fractions for 33/40, 28/89, 685/401 is 1/1427560.