GCD of 90, 87, 48, 77 Calculator

Given Input numbers are 90, 87, 48, 77

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 87

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

1, 3, 29, 87

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 90, 87, 48, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 87, 48, 77 is 1.

Therefore, GCD of numbers 90, 87, 48, 77 is 1

Given Input Data is 90, 87, 48, 77

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 77 is 7 x 11

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(90, 87) = 2610

GCD(90, 87) = ( 90 x 87 ) / 2610

GCD(90, 87) = 7830 / 2610

GCD(90, 87) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

GCD of 90, 87, 48, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 13, 19, 30
• GCD of 81, 58, 13, 66
• GCD of 98, 41, 74, 96
• GCD of 66, 96, 15, 53
• GCD of 88, 78, 67, 48

1. What is the GCD of 90, 87, 48, 77?

GCD of 90, 87, 48, 77 is 1

2. Where do I get the detailed procedure to find GCD of 90, 87, 48, 77?

You can find a detailed procedure to find GCD of 90, 87, 48, 77 on our page.

3. How to find GCD of 90, 87, 48, 77 on a calculator?

You can find the GCD of 90, 87, 48, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.