GCD of 407, 687, 677, 436 Calculator

Given Input numbers are 407, 687, 677, 436

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 687

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

1, 3, 229, 687

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 407, 687, 677, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 687, 677, 436 is 1.

Therefore, GCD of numbers 407, 687, 677, 436 is 1

Given Input Data is 407, 687, 677, 436

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 687 is 3 x 229

Prime Factorization of 677 is 677

Prime Factorization of 436 is 2 x 2 x 109

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(407, 687) = 279609

GCD(407, 687) = ( 407 x 687 ) / 279609

GCD(407, 687) = 279609 / 279609

GCD(407, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 407, 687, 677, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 786, 534, 345
• GCD of 551, 236, 904, 189
• GCD of 408, 183, 832, 260
• GCD of 997, 489, 456, 315
• GCD of 238, 468, 420, 291

1. What is the GCD of 407, 687, 677, 436?

GCD of 407, 687, 677, 436 is 1

2. Where do I get the detailed procedure to find GCD of 407, 687, 677, 436?

You can find a detailed procedure to find GCD of 407, 687, 677, 436 on our page.

3. How to find GCD of 407, 687, 677, 436 on a calculator?

You can find the GCD of 407, 687, 677, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.