GCD of 464, 460, 687, 358 Calculator

Given Input numbers are 464, 460, 687, 358

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 464, 460, 687, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 460, 687, 358 is 1.

Therefore, GCD of numbers 464, 460, 687, 358 is 1

Given Input Data is 464, 460, 687, 358

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 687 is 3 x 229

Prime Factorization of 358 is 2 x 179

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(464, 460) = 53360

GCD(464, 460) = ( 464 x 460 ) / 53360

GCD(464, 460) = 213440 / 53360

GCD(464, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 464, 460, 687, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 749, 987, 850
• GCD of 556, 452, 806, 591
• GCD of 606, 451, 885, 318
• GCD of 726, 932, 382, 716
• GCD of 302, 564, 223, 860

1. What is the GCD of 464, 460, 687, 358?

GCD of 464, 460, 687, 358 is 1

2. Where do I get the detailed procedure to find GCD of 464, 460, 687, 358?

You can find a detailed procedure to find GCD of 464, 460, 687, 358 on our page.

3. How to find GCD of 464, 460, 687, 358 on a calculator?

You can find the GCD of 464, 460, 687, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.