GCD of 451, 687, 105, 356 Calculator

Given Input numbers are 451, 687, 105, 356

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

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 687

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

1, 3, 229, 687

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 451, 687, 105, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 687, 105, 356 is 1.

Therefore, GCD of numbers 451, 687, 105, 356 is 1

Given Input Data is 451, 687, 105, 356

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

Prime Factorization of 451 is 11 x 41

Prime Factorization of 687 is 3 x 229

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 356 is 2 x 2 x 89

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(451, 687) = 309837

GCD(451, 687) = ( 451 x 687 ) / 309837

GCD(451, 687) = 309837 / 309837

GCD(451, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 451, 687, 105, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 397, 794, 331
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• GCD of 280, 415, 370, 653

1. What is the GCD of 451, 687, 105, 356?

GCD of 451, 687, 105, 356 is 1

2. Where do I get the detailed procedure to find GCD of 451, 687, 105, 356?

You can find a detailed procedure to find GCD of 451, 687, 105, 356 on our page.

3. How to find GCD of 451, 687, 105, 356 on a calculator?

You can find the GCD of 451, 687, 105, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.