GCD of 642, 106, 725, 464 Calculator

Given Input numbers are 642, 106, 725, 464

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 642, 106, 725, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 106, 725, 464 is 1.

Therefore, GCD of numbers 642, 106, 725, 464 is 1

Given Input Data is 642, 106, 725, 464

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 106 is 2 x 53

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(642, 106) = 34026

GCD(642, 106) = ( 642 x 106 ) / 34026

GCD(642, 106) = 68052 / 34026

GCD(642, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 642, 106, 725, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 752, 909, 275
• GCD of 977, 138, 175, 739
• GCD of 870, 538, 734, 362
• GCD of 832, 275, 666, 258
• GCD of 407, 207, 260, 172

1. What is the GCD of 642, 106, 725, 464?

GCD of 642, 106, 725, 464 is 1

2. Where do I get the detailed procedure to find GCD of 642, 106, 725, 464?

You can find a detailed procedure to find GCD of 642, 106, 725, 464 on our page.

3. How to find GCD of 642, 106, 725, 464 on a calculator?

You can find the GCD of 642, 106, 725, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.