GCD of 169, 342, 49, 157 Calculator

Given Input numbers are 169, 342, 49, 157

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

Divisors of 169

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

1, 13, 169

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 169, 342, 49, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 342, 49, 157 is 1.

Therefore, GCD of numbers 169, 342, 49, 157 is 1

Given Input Data is 169, 342, 49, 157

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 49 is 7 x 7

Prime Factorization of 157 is 157

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(169, 342) = 57798

GCD(169, 342) = ( 169 x 342 ) / 57798

GCD(169, 342) = 57798 / 57798

GCD(169, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 169, 342, 49, 157 is 1

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1. What is the GCD of 169, 342, 49, 157?

GCD of 169, 342, 49, 157 is 1

2. Where do I get the detailed procedure to find GCD of 169, 342, 49, 157?

You can find a detailed procedure to find GCD of 169, 342, 49, 157 on our page.

3. How to find GCD of 169, 342, 49, 157 on a calculator?

You can find the GCD of 169, 342, 49, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.