GCD of 380, 165, 154, 196 Calculator

Given Input numbers are 380, 165, 154, 196

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 380, 165, 154, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 165, 154, 196 is 1.

Therefore, GCD of numbers 380, 165, 154, 196 is 1

Given Input Data is 380, 165, 154, 196

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(380, 165) = 12540

GCD(380, 165) = ( 380 x 165 ) / 12540

GCD(380, 165) = 62700 / 12540

GCD(380, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 154

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

LCM(5, 154) = 770

GCD(5, 154) = ( 5 x 154 ) / 770

GCD(5, 154) = 770 / 770

GCD(5, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 380, 165, 154, 196 is 1

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1. What is the GCD of 380, 165, 154, 196?

GCD of 380, 165, 154, 196 is 1

2. Where do I get the detailed procedure to find GCD of 380, 165, 154, 196?

You can find a detailed procedure to find GCD of 380, 165, 154, 196 on our page.

3. How to find GCD of 380, 165, 154, 196 on a calculator?

You can find the GCD of 380, 165, 154, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.