GCD of 66, 39, 85, 70 Calculator

Given Input numbers are 66, 39, 85, 70

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Greatest Common Divisior

We found the divisors of 66, 39, 85, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 39, 85, 70 is 1.

Therefore, GCD of numbers 66, 39, 85, 70 is 1

Given Input Data is 66, 39, 85, 70

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 39 is 3 x 13

Prime Factorization of 85 is 5 x 17

Prime Factorization of 70 is 2 x 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, 39) = 858

GCD(66, 39) = ( 66 x 39 ) / 858

GCD(66, 39) = 2574 / 858

GCD(66, 39) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

GCD of 66, 39, 85, 70 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 47, 31, 16
• GCD of 68, 98, 39, 10
• GCD of 22, 28, 58, 45
• GCD of 91, 66, 55, 58
• GCD of 55, 86, 97, 82

1. What is the GCD of 66, 39, 85, 70?

GCD of 66, 39, 85, 70 is 1

2. Where do I get the detailed procedure to find GCD of 66, 39, 85, 70?

You can find a detailed procedure to find GCD of 66, 39, 85, 70 on our page.

3. How to find GCD of 66, 39, 85, 70 on a calculator?

You can find the GCD of 66, 39, 85, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.