GCD of 83, 207, 650, 274 Calculator

Given Input numbers are 83, 207, 650, 274

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 83, 207, 650, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 207, 650, 274 is 1.

Therefore, GCD of numbers 83, 207, 650, 274 is 1

Given Input Data is 83, 207, 650, 274

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

Prime Factorization of 83 is 83

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 274 is 2 x 137

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, 207) = 17181

GCD(83, 207) = ( 83 x 207 ) / 17181

GCD(83, 207) = 17181 / 17181

GCD(83, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 83, 207, 650, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 667, 749, 727
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1. What is the GCD of 83, 207, 650, 274?

GCD of 83, 207, 650, 274 is 1

2. Where do I get the detailed procedure to find GCD of 83, 207, 650, 274?

You can find a detailed procedure to find GCD of 83, 207, 650, 274 on our page.

3. How to find GCD of 83, 207, 650, 274 on a calculator?

You can find the GCD of 83, 207, 650, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.