GCD of 66, 87, 33, 35 Calculator

Given Input numbers are 66, 87, 33, 35

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 66, 87, 33, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 87, 33, 35 is 1.

Therefore, GCD of numbers 66, 87, 33, 35 is 1

Given Input Data is 66, 87, 33, 35

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 33 is 3 x 11

Prime Factorization of 35 is 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(66, 87) = 1914

GCD(66, 87) = ( 66 x 87 ) / 1914

GCD(66, 87) = 5742 / 1914

GCD(66, 87) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

GCD of 66, 87, 33, 35 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 73, 98, 90
• GCD of 27, 97, 93, 80
• GCD of 21, 62, 79, 11
• GCD of 76, 86, 78, 69
• GCD of 96, 12, 97, 54

1. What is the GCD of 66, 87, 33, 35?

GCD of 66, 87, 33, 35 is 1

2. Where do I get the detailed procedure to find GCD of 66, 87, 33, 35?

You can find a detailed procedure to find GCD of 66, 87, 33, 35 on our page.

3. How to find GCD of 66, 87, 33, 35 on a calculator?

You can find the GCD of 66, 87, 33, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.