GCD of 84, 560, 858, 997 Calculator

Given Input numbers are 84, 560, 858, 997

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

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 84, 560, 858, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 560, 858, 997 is 1.

Therefore, GCD of numbers 84, 560, 858, 997 is 1

Given Input Data is 84, 560, 858, 997

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

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 997 is 997

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(84, 560) = 1680

GCD(84, 560) = ( 84 x 560 ) / 1680

GCD(84, 560) = 47040 / 1680

GCD(84, 560) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 858

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

LCM(28, 858) = 12012

GCD(28, 858) = ( 28 x 858 ) / 12012

GCD(28, 858) = 24024 / 12012

GCD(28, 858) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

GCD of 84, 560, 858, 997 is 1

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1. What is the GCD of 84, 560, 858, 997?

GCD of 84, 560, 858, 997 is 1

2. Where do I get the detailed procedure to find GCD of 84, 560, 858, 997?

You can find a detailed procedure to find GCD of 84, 560, 858, 997 on our page.

3. How to find GCD of 84, 560, 858, 997 on a calculator?

You can find the GCD of 84, 560, 858, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.