GCD of 61, 117, 507, 470 Calculator

Given Input numbers are 61, 117, 507, 470

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 61, 117, 507, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 117, 507, 470 is 1.

Therefore, GCD of numbers 61, 117, 507, 470 is 1

Given Input Data is 61, 117, 507, 470

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

Prime Factorization of 61 is 61

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 470 is 2 x 5 x 47

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(61, 117) = 7137

GCD(61, 117) = ( 61 x 117 ) / 7137

GCD(61, 117) = 7137 / 7137

GCD(61, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 61, 117, 507, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 569, 197, 602
• GCD of 46, 360, 110, 766
• GCD of 57, 212, 641, 384
• GCD of 88, 355, 739, 270
• GCD of 59, 507, 196, 923

1. What is the GCD of 61, 117, 507, 470?

GCD of 61, 117, 507, 470 is 1

2. Where do I get the detailed procedure to find GCD of 61, 117, 507, 470?

You can find a detailed procedure to find GCD of 61, 117, 507, 470 on our page.

3. How to find GCD of 61, 117, 507, 470 on a calculator?

You can find the GCD of 61, 117, 507, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.