GCD of 91, 45, 72, 87 Calculator

Given Input numbers are 91, 45, 72, 87

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 87

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

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 91, 45, 72, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 45, 72, 87 is 1.

Therefore, GCD of numbers 91, 45, 72, 87 is 1

Given Input Data is 91, 45, 72, 87

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 87 is 3 x 29

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(91, 45) = 4095

GCD(91, 45) = ( 91 x 45 ) / 4095

GCD(91, 45) = 4095 / 4095

GCD(91, 45) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

GCD of 91, 45, 72, 87 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 45, 85, 43
• GCD of 14, 10, 95, 38
• GCD of 72, 24, 62, 17
• GCD of 14, 16, 77, 42
• GCD of 35, 80, 27, 64

1. What is the GCD of 91, 45, 72, 87?

GCD of 91, 45, 72, 87 is 1

2. Where do I get the detailed procedure to find GCD of 91, 45, 72, 87?

You can find a detailed procedure to find GCD of 91, 45, 72, 87 on our page.

3. How to find GCD of 91, 45, 72, 87 on a calculator?

You can find the GCD of 91, 45, 72, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.