GCD of 37, 90, 49, 77 Calculator

Given Input numbers are 37, 90, 49, 77

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 37, 90, 49, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 90, 49, 77 is 1.

Therefore, GCD of numbers 37, 90, 49, 77 is 1

Given Input Data is 37, 90, 49, 77

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

Prime Factorization of 37 is 37

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

Prime Factorization of 49 is 7 x 7

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(37, 90) = 3330

GCD(37, 90) = ( 37 x 90 ) / 3330

GCD(37, 90) = 3330 / 3330

GCD(37, 90) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 37, 90, 49, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 81, 15, 43
• GCD of 61, 17, 22, 20
• GCD of 56, 38, 75, 10
• GCD of 34, 11, 66, 65
• GCD of 84, 58, 28, 11

1. What is the GCD of 37, 90, 49, 77?

GCD of 37, 90, 49, 77 is 1

2. Where do I get the detailed procedure to find GCD of 37, 90, 49, 77?

You can find a detailed procedure to find GCD of 37, 90, 49, 77 on our page.

3. How to find GCD of 37, 90, 49, 77 on a calculator?

You can find the GCD of 37, 90, 49, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.