GCD of 758, 232, 87, 380 Calculator

Given Input numbers are 758, 232, 87, 380

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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

Greatest Common Divisior

We found the divisors of 758, 232, 87, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 232, 87, 380 is 1.

Therefore, GCD of numbers 758, 232, 87, 380 is 1

Given Input Data is 758, 232, 87, 380

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 87 is 3 x 29

Prime Factorization of 380 is 2 x 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(758, 232) = 87928

GCD(758, 232) = ( 758 x 232 ) / 87928

GCD(758, 232) = 175856 / 87928

GCD(758, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 758, 232, 87, 380 is 1

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• GCD of 492, 820, 45, 336
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1. What is the GCD of 758, 232, 87, 380?

GCD of 758, 232, 87, 380 is 1

2. Where do I get the detailed procedure to find GCD of 758, 232, 87, 380?

You can find a detailed procedure to find GCD of 758, 232, 87, 380 on our page.

3. How to find GCD of 758, 232, 87, 380 on a calculator?

You can find the GCD of 758, 232, 87, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.