GCD of 860, 972, 693, 472 Calculator

Given Input numbers are 860, 972, 693, 472

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 860, 972, 693, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 972, 693, 472 is 1.

Therefore, GCD of numbers 860, 972, 693, 472 is 1

Given Input Data is 860, 972, 693, 472

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(860, 972) = 208980

GCD(860, 972) = ( 860 x 972 ) / 208980

GCD(860, 972) = 835920 / 208980

GCD(860, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 693

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

LCM(4, 693) = 2772

GCD(4, 693) = ( 4 x 693 ) / 2772

GCD(4, 693) = 2772 / 2772

GCD(4, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 860, 972, 693, 472 is 1

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1. What is the GCD of 860, 972, 693, 472?

GCD of 860, 972, 693, 472 is 1

2. Where do I get the detailed procedure to find GCD of 860, 972, 693, 472?

You can find a detailed procedure to find GCD of 860, 972, 693, 472 on our page.

3. How to find GCD of 860, 972, 693, 472 on a calculator?

You can find the GCD of 860, 972, 693, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.