GCD of 83, 121, 501, 970 Calculator

Given Input numbers are 83, 121, 501, 970

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 83, 121, 501, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 121, 501, 970 is 1.

Therefore, GCD of numbers 83, 121, 501, 970 is 1

Given Input Data is 83, 121, 501, 970

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

Prime Factorization of 83 is 83

Prime Factorization of 121 is 11 x 11

Prime Factorization of 501 is 3 x 167

Prime Factorization of 970 is 2 x 5 x 97

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, 121) = 10043

GCD(83, 121) = ( 83 x 121 ) / 10043

GCD(83, 121) = 10043 / 10043

GCD(83, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 83, 121, 501, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 461, 911, 174
• GCD of 62, 143, 757, 269
• GCD of 92, 913, 132, 903
• GCD of 19, 618, 168, 720
• GCD of 12, 131, 175, 175

1. What is the GCD of 83, 121, 501, 970?

GCD of 83, 121, 501, 970 is 1

2. Where do I get the detailed procedure to find GCD of 83, 121, 501, 970?

You can find a detailed procedure to find GCD of 83, 121, 501, 970 on our page.

3. How to find GCD of 83, 121, 501, 970 on a calculator?

You can find the GCD of 83, 121, 501, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.