GCD of 315, 950, 165, 997 Calculator

Given Input numbers are 315, 950, 165, 997

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 315, 950, 165, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 950, 165, 997 is 1.

Therefore, GCD of numbers 315, 950, 165, 997 is 1

Given Input Data is 315, 950, 165, 997

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 997 is 997

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(315, 950) = 59850

GCD(315, 950) = ( 315 x 950 ) / 59850

GCD(315, 950) = 299250 / 59850

GCD(315, 950) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 165

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

LCM(5, 165) = 165

GCD(5, 165) = ( 5 x 165 ) / 165

GCD(5, 165) = 825 / 165

GCD(5, 165) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 997

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

LCM(5, 997) = 4985

GCD(5, 997) = ( 5 x 997 ) / 4985

GCD(5, 997) = 4985 / 4985

GCD(5, 997) = 1

GCD of 315, 950, 165, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 770, 718, 904
• GCD of 587, 163, 746, 106
• GCD of 835, 209, 105, 718
• GCD of 797, 222, 308, 117
• GCD of 609, 271, 724, 306

1. What is the GCD of 315, 950, 165, 997?

GCD of 315, 950, 165, 997 is 1

2. Where do I get the detailed procedure to find GCD of 315, 950, 165, 997?

You can find a detailed procedure to find GCD of 315, 950, 165, 997 on our page.

3. How to find GCD of 315, 950, 165, 997 on a calculator?

You can find the GCD of 315, 950, 165, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.