GCD of 711, 945, 36, 692 Calculator

Given Input numbers are 711, 945, 36, 692

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 711, 945, 36, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 945, 36, 692 is 1.

Therefore, GCD of numbers 711, 945, 36, 692 is 1

Given Input Data is 711, 945, 36, 692

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

Prime Factorization of 711 is 3 x 3 x 79

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 692 is 2 x 2 x 173

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(711, 945) = 74655

GCD(711, 945) = ( 711 x 945 ) / 74655

GCD(711, 945) = 671895 / 74655

GCD(711, 945) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 36

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

LCM(9, 36) = 36

GCD(9, 36) = ( 9 x 36 ) / 36

GCD(9, 36) = 324 / 36

GCD(9, 36) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 692

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

LCM(9, 692) = 6228

GCD(9, 692) = ( 9 x 692 ) / 6228

GCD(9, 692) = 6228 / 6228

GCD(9, 692) = 1

GCD of 711, 945, 36, 692 is 1

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1. What is the GCD of 711, 945, 36, 692?

GCD of 711, 945, 36, 692 is 1

2. Where do I get the detailed procedure to find GCD of 711, 945, 36, 692?

You can find a detailed procedure to find GCD of 711, 945, 36, 692 on our page.

3. How to find GCD of 711, 945, 36, 692 on a calculator?

You can find the GCD of 711, 945, 36, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.