GCD of 465, 710, 505, 402 Calculator

Given Input numbers are 465, 710, 505, 402

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 465, 710, 505, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 710, 505, 402 is 1.

Therefore, GCD of numbers 465, 710, 505, 402 is 1

Given Input Data is 465, 710, 505, 402

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 505 is 5 x 101

Prime Factorization of 402 is 2 x 3 x 67

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(465, 710) = 66030

GCD(465, 710) = ( 465 x 710 ) / 66030

GCD(465, 710) = 330150 / 66030

GCD(465, 710) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 505

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

LCM(5, 505) = 505

GCD(5, 505) = ( 5 x 505 ) / 505

GCD(5, 505) = 2525 / 505

GCD(5, 505) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 402

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

LCM(5, 402) = 2010

GCD(5, 402) = ( 5 x 402 ) / 2010

GCD(5, 402) = 2010 / 2010

GCD(5, 402) = 1

GCD of 465, 710, 505, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 588, 736, 290
• GCD of 894, 208, 596, 577
• GCD of 143, 662, 176, 918
• GCD of 464, 758, 296, 615
• GCD of 682, 276, 642, 484

1. What is the GCD of 465, 710, 505, 402?

GCD of 465, 710, 505, 402 is 1

2. Where do I get the detailed procedure to find GCD of 465, 710, 505, 402?

You can find a detailed procedure to find GCD of 465, 710, 505, 402 on our page.

3. How to find GCD of 465, 710, 505, 402 on a calculator?

You can find the GCD of 465, 710, 505, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.