GCD of 915, 970, 17, 770 Calculator

Given Input numbers are 915, 970, 17, 770

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 915, 970, 17, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 970, 17, 770 is 1.

Therefore, GCD of numbers 915, 970, 17, 770 is 1

Given Input Data is 915, 970, 17, 770

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 970 is 2 x 5 x 97

Prime Factorization of 17 is 17

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 970) = 177510

GCD(915, 970) = ( 915 x 970 ) / 177510

GCD(915, 970) = 887550 / 177510

GCD(915, 970) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 17

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

LCM(5, 17) = 85

GCD(5, 17) = ( 5 x 17 ) / 85

GCD(5, 17) = 85 / 85

GCD(5, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 915, 970, 17, 770 is 1

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1. What is the GCD of 915, 970, 17, 770?

GCD of 915, 970, 17, 770 is 1

2. Where do I get the detailed procedure to find GCD of 915, 970, 17, 770?

You can find a detailed procedure to find GCD of 915, 970, 17, 770 on our page.

3. How to find GCD of 915, 970, 17, 770 on a calculator?

You can find the GCD of 915, 970, 17, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.