GCD of 507, 214, 69, 100 Calculator

Given Input numbers are 507, 214, 69, 100

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 507, 214, 69, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 214, 69, 100 is 1.

Therefore, GCD of numbers 507, 214, 69, 100 is 1

Given Input Data is 507, 214, 69, 100

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 214 is 2 x 107

Prime Factorization of 69 is 3 x 23

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(507, 214) = 108498

GCD(507, 214) = ( 507 x 214 ) / 108498

GCD(507, 214) = 108498 / 108498

GCD(507, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 507, 214, 69, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 567, 44, 535
• GCD of 914, 408, 69, 631
• GCD of 914, 156, 59, 410
• GCD of 857, 357, 77, 126
• GCD of 127, 325, 15, 604

1. What is the GCD of 507, 214, 69, 100?

GCD of 507, 214, 69, 100 is 1

2. Where do I get the detailed procedure to find GCD of 507, 214, 69, 100?

You can find a detailed procedure to find GCD of 507, 214, 69, 100 on our page.

3. How to find GCD of 507, 214, 69, 100 on a calculator?

You can find the GCD of 507, 214, 69, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.