GCD of 692, 945, 549 Calculator

Given Input numbers are 692, 945, 549

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 692, 945, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 945, 549 is 1.

Therefore, GCD of numbers 692, 945, 549 is 1

Given Input Data is 692, 945, 549

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

Prime Factorization of 692 is 2 x 2 x 173

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

Prime Factorization of 549 is 3 x 3 x 61

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(692, 945) = 653940

GCD(692, 945) = ( 692 x 945 ) / 653940

GCD(692, 945) = 653940 / 653940

GCD(692, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 692, 945, 549 is 1

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1. What is the GCD of 692, 945, 549?

GCD of 692, 945, 549 is 1

2. Where do I get the detailed procedure to find GCD of 692, 945, 549?

You can find a detailed procedure to find GCD of 692, 945, 549 on our page.

3. How to find GCD of 692, 945, 549 on a calculator?

You can find the GCD of 692, 945, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.