GCD of 42, 825, 946, 709 Calculator

Given Input numbers are 42, 825, 946, 709

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 42, 825, 946, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 825, 946, 709 is 1.

Therefore, GCD of numbers 42, 825, 946, 709 is 1

Given Input Data is 42, 825, 946, 709

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 709 is 709

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(42, 825) = 11550

GCD(42, 825) = ( 42 x 825 ) / 11550

GCD(42, 825) = 34650 / 11550

GCD(42, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 42, 825, 946, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 270, 355, 868
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• GCD of 99, 130, 323, 555
• GCD of 39, 156, 795, 423
• GCD of 95, 611, 461, 167

1. What is the GCD of 42, 825, 946, 709?

GCD of 42, 825, 946, 709 is 1

2. Where do I get the detailed procedure to find GCD of 42, 825, 946, 709?

You can find a detailed procedure to find GCD of 42, 825, 946, 709 on our page.

3. How to find GCD of 42, 825, 946, 709 on a calculator?

You can find the GCD of 42, 825, 946, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.