GCD of 380, 142, 32, 703 Calculator

Given Input numbers are 380, 142, 32, 703

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 380, 142, 32, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 142, 32, 703 is 1.

Therefore, GCD of numbers 380, 142, 32, 703 is 1

Given Input Data is 380, 142, 32, 703

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 142 is 2 x 71

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 703 is 19 x 37

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, 142) = 26980

GCD(380, 142) = ( 380 x 142 ) / 26980

GCD(380, 142) = 53960 / 26980

GCD(380, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

GCD of 380, 142, 32, 703 is 1

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1. What is the GCD of 380, 142, 32, 703?

GCD of 380, 142, 32, 703 is 1

2. Where do I get the detailed procedure to find GCD of 380, 142, 32, 703?

You can find a detailed procedure to find GCD of 380, 142, 32, 703 on our page.

3. How to find GCD of 380, 142, 32, 703 on a calculator?

You can find the GCD of 380, 142, 32, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.