GCD of 677, 206, 10, 436 Calculator

Given Input numbers are 677, 206, 10, 436

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

Divisors of 677

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

1, 677

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 677, 206, 10, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 206, 10, 436 is 1.

Therefore, GCD of numbers 677, 206, 10, 436 is 1

Given Input Data is 677, 206, 10, 436

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

Prime Factorization of 677 is 677

Prime Factorization of 206 is 2 x 103

Prime Factorization of 10 is 2 x 5

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(677, 206) = 139462

GCD(677, 206) = ( 677 x 206 ) / 139462

GCD(677, 206) = 139462 / 139462

GCD(677, 206) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 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 677, 206, 10, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 281, 29, 736
• GCD of 542, 205, 95, 438
• GCD of 983, 595, 95, 631
• GCD of 497, 516, 12, 254
• GCD of 969, 526, 36, 690

1. What is the GCD of 677, 206, 10, 436?

GCD of 677, 206, 10, 436 is 1

2. Where do I get the detailed procedure to find GCD of 677, 206, 10, 436?

You can find a detailed procedure to find GCD of 677, 206, 10, 436 on our page.

3. How to find GCD of 677, 206, 10, 436 on a calculator?

You can find the GCD of 677, 206, 10, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.