GCD of 83, 77, 53, 37 Calculator

Given Input numbers are 83, 77, 53, 37

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 77

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

1, 7, 11, 77

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 37

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

1, 37

Greatest Common Divisior

We found the divisors of 83, 77, 53, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 77, 53, 37 is 1.

Therefore, GCD of numbers 83, 77, 53, 37 is 1

Given Input Data is 83, 77, 53, 37

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

Prime Factorization of 83 is 83

Prime Factorization of 77 is 7 x 11

Prime Factorization of 53 is 53

Prime Factorization of 37 is 37

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(83, 77) = 6391

GCD(83, 77) = ( 83 x 77 ) / 6391

GCD(83, 77) = 6391 / 6391

GCD(83, 77) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

GCD of 83, 77, 53, 37 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 65, 59, 40
• GCD of 88, 99, 32, 72
• GCD of 88, 51, 57, 84
• GCD of 50, 15, 37, 68
• GCD of 56, 17, 46, 22

1. What is the GCD of 83, 77, 53, 37?

GCD of 83, 77, 53, 37 is 1

2. Where do I get the detailed procedure to find GCD of 83, 77, 53, 37?

You can find a detailed procedure to find GCD of 83, 77, 53, 37 on our page.

3. How to find GCD of 83, 77, 53, 37 on a calculator?

You can find the GCD of 83, 77, 53, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.