GCD of 105, 621, 854, 126 Calculator

Given Input numbers are 105, 621, 854, 126

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

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 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 105, 621, 854, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 621, 854, 126 is 1.

Therefore, GCD of numbers 105, 621, 854, 126 is 1

Given Input Data is 105, 621, 854, 126

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(105, 621) = 21735

GCD(105, 621) = ( 105 x 621 ) / 21735

GCD(105, 621) = 65205 / 21735

GCD(105, 621) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 854

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

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

GCD(3, 854) = 2562 / 2562

GCD(3, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 105, 621, 854, 126 is 1

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• GCD of 275, 473, 337, 674
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1. What is the GCD of 105, 621, 854, 126?

GCD of 105, 621, 854, 126 is 1

2. Where do I get the detailed procedure to find GCD of 105, 621, 854, 126?

You can find a detailed procedure to find GCD of 105, 621, 854, 126 on our page.

3. How to find GCD of 105, 621, 854, 126 on a calculator?

You can find the GCD of 105, 621, 854, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.