GCD of 902, 687, 616, 462 Calculator

Given Input numbers are 902, 687, 616, 462

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 687

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

1, 3, 229, 687

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 902, 687, 616, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 687, 616, 462 is 1.

Therefore, GCD of numbers 902, 687, 616, 462 is 1

Given Input Data is 902, 687, 616, 462

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 687 is 3 x 229

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(902, 687) = 619674

GCD(902, 687) = ( 902 x 687 ) / 619674

GCD(902, 687) = 619674 / 619674

GCD(902, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 902, 687, 616, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 702, 119, 244
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• GCD of 993, 768, 784, 534

1. What is the GCD of 902, 687, 616, 462?

GCD of 902, 687, 616, 462 is 1

2. Where do I get the detailed procedure to find GCD of 902, 687, 616, 462?

You can find a detailed procedure to find GCD of 902, 687, 616, 462 on our page.

3. How to find GCD of 902, 687, 616, 462 on a calculator?

You can find the GCD of 902, 687, 616, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.