GCD of 428, 136, 172, 169 Calculator

Given Input numbers are 428, 136, 172, 169

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 428, 136, 172, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 136, 172, 169 is 1.

Therefore, GCD of numbers 428, 136, 172, 169 is 1

Given Input Data is 428, 136, 172, 169

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 172 is 2 x 2 x 43

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(428, 136) = 14552

GCD(428, 136) = ( 428 x 136 ) / 14552

GCD(428, 136) = 58208 / 14552

GCD(428, 136) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 172

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

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

GCD(4, 172) = 688 / 172

GCD(4, 172) = 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 428, 136, 172, 169 is 1

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1. What is the GCD of 428, 136, 172, 169?

GCD of 428, 136, 172, 169 is 1

2. Where do I get the detailed procedure to find GCD of 428, 136, 172, 169?

You can find a detailed procedure to find GCD of 428, 136, 172, 169 on our page.

3. How to find GCD of 428, 136, 172, 169 on a calculator?

You can find the GCD of 428, 136, 172, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.