GCD of 752, 636, 284, 169 Calculator

Given Input numbers are 752, 636, 284, 169

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 169

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

1, 13, 169

Greatest Common Divisior

We found the divisors of 752, 636, 284, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 636, 284, 169 is 1.

Therefore, GCD of numbers 752, 636, 284, 169 is 1

Given Input Data is 752, 636, 284, 169

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 169 is 13 x 13

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(752, 636) = 119568

GCD(752, 636) = ( 752 x 636 ) / 119568

GCD(752, 636) = 478272 / 119568

GCD(752, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 284

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

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

GCD(4, 284) = 1136 / 284

GCD(4, 284) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 169

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

LCM(4, 169) = 676

GCD(4, 169) = ( 4 x 169 ) / 676

GCD(4, 169) = 676 / 676

GCD(4, 169) = 1

GCD of 752, 636, 284, 169 is 1

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• GCD of 879, 823, 248, 814
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1. What is the GCD of 752, 636, 284, 169?

GCD of 752, 636, 284, 169 is 1

2. Where do I get the detailed procedure to find GCD of 752, 636, 284, 169?

You can find a detailed procedure to find GCD of 752, 636, 284, 169 on our page.

3. How to find GCD of 752, 636, 284, 169 on a calculator?

You can find the GCD of 752, 636, 284, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.