GCD of 146, 356, 45, 190 Calculator

Given Input numbers are 146, 356, 45, 190

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 146, 356, 45, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 356, 45, 190 is 1.

Therefore, GCD of numbers 146, 356, 45, 190 is 1

Given Input Data is 146, 356, 45, 190

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 190 is 2 x 5 x 19

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(146, 356) = 25988

GCD(146, 356) = ( 146 x 356 ) / 25988

GCD(146, 356) = 51976 / 25988

GCD(146, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

GCD of 146, 356, 45, 190 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 546, 46, 739
• GCD of 934, 367, 80, 816
• GCD of 616, 918, 79, 385
• GCD of 346, 356, 79, 919
• GCD of 389, 565, 86, 610

1. What is the GCD of 146, 356, 45, 190?

GCD of 146, 356, 45, 190 is 1

2. Where do I get the detailed procedure to find GCD of 146, 356, 45, 190?

You can find a detailed procedure to find GCD of 146, 356, 45, 190 on our page.

3. How to find GCD of 146, 356, 45, 190 on a calculator?

You can find the GCD of 146, 356, 45, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.