GCD of 380, 315, 34, 153 Calculator

Given Input numbers are 380, 315, 34, 153

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 380, 315, 34, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 315, 34, 153 is 1.

Therefore, GCD of numbers 380, 315, 34, 153 is 1

Given Input Data is 380, 315, 34, 153

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 153 is 3 x 3 x 17

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, 315) = 23940

GCD(380, 315) = ( 380 x 315 ) / 23940

GCD(380, 315) = 119700 / 23940

GCD(380, 315) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 34

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

LCM(5, 34) = 170

GCD(5, 34) = ( 5 x 34 ) / 170

GCD(5, 34) = 170 / 170

GCD(5, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 380, 315, 34, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 985, 63, 306
• GCD of 956, 768, 85, 514
• GCD of 930, 204, 34, 776
• GCD of 946, 170, 54, 386
• GCD of 318, 718, 52, 791

1. What is the GCD of 380, 315, 34, 153?

GCD of 380, 315, 34, 153 is 1

2. Where do I get the detailed procedure to find GCD of 380, 315, 34, 153?

You can find a detailed procedure to find GCD of 380, 315, 34, 153 on our page.

3. How to find GCD of 380, 315, 34, 153 on a calculator?

You can find the GCD of 380, 315, 34, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.