GCD of 83, 542, 302, 567 Calculator

Given Input numbers are 83, 542, 302, 567

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 83, 542, 302, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 542, 302, 567 is 1.

Therefore, GCD of numbers 83, 542, 302, 567 is 1

Given Input Data is 83, 542, 302, 567

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

Prime Factorization of 83 is 83

Prime Factorization of 542 is 2 x 271

Prime Factorization of 302 is 2 x 151

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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, 542) = 44986

GCD(83, 542) = ( 83 x 542 ) / 44986

GCD(83, 542) = 44986 / 44986

GCD(83, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 83, 542, 302, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 899, 270, 751
• GCD of 99, 804, 197, 679
• GCD of 56, 606, 610, 971
• GCD of 10, 274, 780, 929
• GCD of 98, 409, 416, 281

1. What is the GCD of 83, 542, 302, 567?

GCD of 83, 542, 302, 567 is 1

2. Where do I get the detailed procedure to find GCD of 83, 542, 302, 567?

You can find a detailed procedure to find GCD of 83, 542, 302, 567 on our page.

3. How to find GCD of 83, 542, 302, 567 on a calculator?

You can find the GCD of 83, 542, 302, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.