GCD of 380, 152, 62, 238 Calculator

Given Input numbers are 380, 152, 62, 238

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 380, 152, 62, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 152, 62, 238 is 2.

Therefore, GCD of numbers 380, 152, 62, 238 is 2

Given Input Data is 380, 152, 62, 238

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 62 is 2 x 31

Prime Factorization of 238 is 2 x 7 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 152) = 760

GCD(380, 152) = ( 380 x 152 ) / 760

GCD(380, 152) = 57760 / 760

GCD(380, 152) = 76

Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 62

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

LCM(76, 62) = 2356

GCD(76, 62) = ( 76 x 62 ) / 2356

GCD(76, 62) = 4712 / 2356

GCD(76, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 380, 152, 62, 238 is 2

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1. What is the GCD of 380, 152, 62, 238?

GCD of 380, 152, 62, 238 is 2

2. Where do I get the detailed procedure to find GCD of 380, 152, 62, 238?

You can find a detailed procedure to find GCD of 380, 152, 62, 238 on our page.

3. How to find GCD of 380, 152, 62, 238 on a calculator?

You can find the GCD of 380, 152, 62, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.