GCD of 70, 40, 65, 89 Calculator

Given Input numbers are 70, 40, 65, 89

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

Divisors of 70

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

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 70, 40, 65, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 40, 65, 89 is 1.

Therefore, GCD of numbers 70, 40, 65, 89 is 1

Given Input Data is 70, 40, 65, 89

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 89 is 89

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(70, 40) = 280

GCD(70, 40) = ( 70 x 40 ) / 280

GCD(70, 40) = 2800 / 280

GCD(70, 40) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 65

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

LCM(10, 65) = 130

GCD(10, 65) = ( 10 x 65 ) / 130

GCD(10, 65) = 650 / 130

GCD(10, 65) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 89

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

LCM(5, 89) = 445

GCD(5, 89) = ( 5 x 89 ) / 445

GCD(5, 89) = 445 / 445

GCD(5, 89) = 1

GCD of 70, 40, 65, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 95, 10, 74
• GCD of 29, 93, 68, 11
• GCD of 13, 90, 17, 66
• GCD of 56, 53, 79, 77
• GCD of 51, 94, 56, 37

1. What is the GCD of 70, 40, 65, 89?

GCD of 70, 40, 65, 89 is 1

2. Where do I get the detailed procedure to find GCD of 70, 40, 65, 89?

You can find a detailed procedure to find GCD of 70, 40, 65, 89 on our page.

3. How to find GCD of 70, 40, 65, 89 on a calculator?

You can find the GCD of 70, 40, 65, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.