GCD of 151, 169, 38, 143 Calculator

Given Input numbers are 151, 169, 38, 143

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 169

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

1, 13, 169

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 151, 169, 38, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 169, 38, 143 is 1.

Therefore, GCD of numbers 151, 169, 38, 143 is 1

Given Input Data is 151, 169, 38, 143

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

Prime Factorization of 151 is 151

Prime Factorization of 169 is 13 x 13

Prime Factorization of 38 is 2 x 19

Prime Factorization of 143 is 11 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(151, 169) = 25519

GCD(151, 169) = ( 151 x 169 ) / 25519

GCD(151, 169) = 25519 / 25519

GCD(151, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 151, 169, 38, 143 is 1

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1. What is the GCD of 151, 169, 38, 143?

GCD of 151, 169, 38, 143 is 1

2. Where do I get the detailed procedure to find GCD of 151, 169, 38, 143?

You can find a detailed procedure to find GCD of 151, 169, 38, 143 on our page.

3. How to find GCD of 151, 169, 38, 143 on a calculator?

You can find the GCD of 151, 169, 38, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.