GCD of 314, 965, 825, 150 Calculator

Given Input numbers are 314, 965, 825, 150

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 314, 965, 825, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 965, 825, 150 is 1.

Therefore, GCD of numbers 314, 965, 825, 150 is 1

Given Input Data is 314, 965, 825, 150

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 965 is 5 x 193

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(314, 965) = 303010

GCD(314, 965) = ( 314 x 965 ) / 303010

GCD(314, 965) = 303010 / 303010

GCD(314, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 314, 965, 825, 150 is 1

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1. What is the GCD of 314, 965, 825, 150?

GCD of 314, 965, 825, 150 is 1

2. Where do I get the detailed procedure to find GCD of 314, 965, 825, 150?

You can find a detailed procedure to find GCD of 314, 965, 825, 150 on our page.

3. How to find GCD of 314, 965, 825, 150 on a calculator?

You can find the GCD of 314, 965, 825, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.