GCD of 915, 824, 738, 615 Calculator

Given Input numbers are 915, 824, 738, 615

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 615

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

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

Greatest Common Divisior

We found the divisors of 915, 824, 738, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 824, 738, 615 is 1.

Therefore, GCD of numbers 915, 824, 738, 615 is 1

Given Input Data is 915, 824, 738, 615

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 615 is 3 x 5 x 41

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(915, 824) = 753960

GCD(915, 824) = ( 915 x 824 ) / 753960

GCD(915, 824) = 753960 / 753960

GCD(915, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 915, 824, 738, 615 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 711, 438, 401
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• GCD of 613, 858, 125, 114
• GCD of 701, 633, 351, 598

1. What is the GCD of 915, 824, 738, 615?

GCD of 915, 824, 738, 615 is 1

2. Where do I get the detailed procedure to find GCD of 915, 824, 738, 615?

You can find a detailed procedure to find GCD of 915, 824, 738, 615 on our page.

3. How to find GCD of 915, 824, 738, 615 on a calculator?

You can find the GCD of 915, 824, 738, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.