GCD of 959, 525, 414 Calculator

Given Input numbers are 959, 525, 414

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 959, 525, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 525, 414 is 1.

Therefore, GCD of numbers 959, 525, 414 is 1

Given Input Data is 959, 525, 414

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(959, 525) = 71925

GCD(959, 525) = ( 959 x 525 ) / 71925

GCD(959, 525) = 503475 / 71925

GCD(959, 525) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 414

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

LCM(7, 414) = 2898

GCD(7, 414) = ( 7 x 414 ) / 2898

GCD(7, 414) = 2898 / 2898

GCD(7, 414) = 1

GCD of 959, 525, 414 is 1

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1. What is the GCD of 959, 525, 414?

GCD of 959, 525, 414 is 1

2. Where do I get the detailed procedure to find GCD of 959, 525, 414?

You can find a detailed procedure to find GCD of 959, 525, 414 on our page.

3. How to find GCD of 959, 525, 414 on a calculator?

You can find the GCD of 959, 525, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.