GCD of 89, 46, 45, 10 Calculator

Given Input numbers are 89, 46, 45, 10

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

Divisors of 89

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

1, 89

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 89, 46, 45, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 46, 45, 10 is 1.

Therefore, GCD of numbers 89, 46, 45, 10 is 1

Given Input Data is 89, 46, 45, 10

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

Prime Factorization of 89 is 89

Prime Factorization of 46 is 2 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 10 is 2 x 5

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(89, 46) = 4094

GCD(89, 46) = ( 89 x 46 ) / 4094

GCD(89, 46) = 4094 / 4094

GCD(89, 46) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 89, 46, 45, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 16, 52, 71
• GCD of 60, 41, 23, 78
• GCD of 46, 58, 75, 97
• GCD of 54, 57, 39, 95
• GCD of 13, 82, 81, 77

1. What is the GCD of 89, 46, 45, 10?

GCD of 89, 46, 45, 10 is 1

2. Where do I get the detailed procedure to find GCD of 89, 46, 45, 10?

You can find a detailed procedure to find GCD of 89, 46, 45, 10 on our page.

3. How to find GCD of 89, 46, 45, 10 on a calculator?

You can find the GCD of 89, 46, 45, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.