GCD of 945, 650, 816, 706 Calculator

Given Input numbers are 945, 650, 816, 706

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 945, 650, 816, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 650, 816, 706 is 1.

Therefore, GCD of numbers 945, 650, 816, 706 is 1

Given Input Data is 945, 650, 816, 706

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 706 is 2 x 353

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(945, 650) = 122850

GCD(945, 650) = ( 945 x 650 ) / 122850

GCD(945, 650) = 614250 / 122850

GCD(945, 650) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 816

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

LCM(5, 816) = 4080

GCD(5, 816) = ( 5 x 816 ) / 4080

GCD(5, 816) = 4080 / 4080

GCD(5, 816) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 945, 650, 816, 706 is 1

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1. What is the GCD of 945, 650, 816, 706?

GCD of 945, 650, 816, 706 is 1

2. Where do I get the detailed procedure to find GCD of 945, 650, 816, 706?

You can find a detailed procedure to find GCD of 945, 650, 816, 706 on our page.

3. How to find GCD of 945, 650, 816, 706 on a calculator?

You can find the GCD of 945, 650, 816, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.