GCD of 87, 330, 615, 758 Calculator

Given Input numbers are 87, 330, 615, 758

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

Divisors of 87

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

1, 3, 29, 87

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 758

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

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 87, 330, 615, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 330, 615, 758 is 1.

Therefore, GCD of numbers 87, 330, 615, 758 is 1

Given Input Data is 87, 330, 615, 758

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 758 is 2 x 379

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(87, 330) = 9570

GCD(87, 330) = ( 87 x 330 ) / 9570

GCD(87, 330) = 28710 / 9570

GCD(87, 330) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 615

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

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

GCD(3, 615) = 1845 / 615

GCD(3, 615) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

GCD of 87, 330, 615, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 563, 114, 503
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• GCD of 53, 496, 166, 394
• GCD of 10, 330, 533, 650

1. What is the GCD of 87, 330, 615, 758?

GCD of 87, 330, 615, 758 is 1

2. Where do I get the detailed procedure to find GCD of 87, 330, 615, 758?

You can find a detailed procedure to find GCD of 87, 330, 615, 758 on our page.

3. How to find GCD of 87, 330, 615, 758 on a calculator?

You can find the GCD of 87, 330, 615, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.