GCD of 960, 573, 978, 693 Calculator

Given Input numbers are 960, 573, 978, 693

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 960, 573, 978, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 573, 978, 693 is 3.

Therefore, GCD of numbers 960, 573, 978, 693 is 3

Given Input Data is 960, 573, 978, 693

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 573 is 3 x 191

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 693 is 3 x 3 x 7 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(960, 573) = 183360

GCD(960, 573) = ( 960 x 573 ) / 183360

GCD(960, 573) = 550080 / 183360

GCD(960, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 978

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

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

GCD(3, 978) = 2934 / 978

GCD(3, 978) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 693

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

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

GCD(3, 693) = 2079 / 693

GCD(3, 693) = 3

GCD of 960, 573, 978, 693 is 3

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1. What is the GCD of 960, 573, 978, 693?

GCD of 960, 573, 978, 693 is 3

2. Where do I get the detailed procedure to find GCD of 960, 573, 978, 693?

You can find a detailed procedure to find GCD of 960, 573, 978, 693 on our page.

3. How to find GCD of 960, 573, 978, 693 on a calculator?

You can find the GCD of 960, 573, 978, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.