GCD of 945, 539, 84, 334 Calculator

Given Input numbers are 945, 539, 84, 334

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 945, 539, 84, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 539, 84, 334 is 1.

Therefore, GCD of numbers 945, 539, 84, 334 is 1

Given Input Data is 945, 539, 84, 334

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 539 is 7 x 7 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 334 is 2 x 167

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, 539) = 72765

GCD(945, 539) = ( 945 x 539 ) / 72765

GCD(945, 539) = 509355 / 72765

GCD(945, 539) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 84

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

LCM(7, 84) = 84

GCD(7, 84) = ( 7 x 84 ) / 84

GCD(7, 84) = 588 / 84

GCD(7, 84) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 334

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

LCM(7, 334) = 2338

GCD(7, 334) = ( 7 x 334 ) / 2338

GCD(7, 334) = 2338 / 2338

GCD(7, 334) = 1

GCD of 945, 539, 84, 334 is 1

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• GCD of 519, 610, 81, 816
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• GCD of 679, 517, 32, 942

1. What is the GCD of 945, 539, 84, 334?

GCD of 945, 539, 84, 334 is 1

2. Where do I get the detailed procedure to find GCD of 945, 539, 84, 334?

You can find a detailed procedure to find GCD of 945, 539, 84, 334 on our page.

3. How to find GCD of 945, 539, 84, 334 on a calculator?

You can find the GCD of 945, 539, 84, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.