GCD of 480, 651, 169, 642 Calculator

Given Input numbers are 480, 651, 169, 642

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 642

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

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

Greatest Common Divisior

We found the divisors of 480, 651, 169, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 651, 169, 642 is 1.

Therefore, GCD of numbers 480, 651, 169, 642 is 1

Given Input Data is 480, 651, 169, 642

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 169 is 13 x 13

Prime Factorization of 642 is 2 x 3 x 107

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(480, 651) = 104160

GCD(480, 651) = ( 480 x 651 ) / 104160

GCD(480, 651) = 312480 / 104160

GCD(480, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 169

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

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

GCD(3, 169) = 507 / 507

GCD(3, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 480, 651, 169, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 420, 361, 129
• GCD of 257, 121, 865, 488
• GCD of 621, 189, 469, 609
• GCD of 539, 631, 627, 105
• GCD of 465, 910, 670, 493

1. What is the GCD of 480, 651, 169, 642?

GCD of 480, 651, 169, 642 is 1

2. Where do I get the detailed procedure to find GCD of 480, 651, 169, 642?

You can find a detailed procedure to find GCD of 480, 651, 169, 642 on our page.

3. How to find GCD of 480, 651, 169, 642 on a calculator?

You can find the GCD of 480, 651, 169, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.