GCD of 888, 570, 975, 840 Calculator

Given Input numbers are 888, 570, 975, 840

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 888, 570, 975, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 570, 975, 840 is 3.

Therefore, GCD of numbers 888, 570, 975, 840 is 3

Given Input Data is 888, 570, 975, 840

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(888, 570) = 84360

GCD(888, 570) = ( 888 x 570 ) / 84360

GCD(888, 570) = 506160 / 84360

GCD(888, 570) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 975

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

LCM(6, 975) = 1950

GCD(6, 975) = ( 6 x 975 ) / 1950

GCD(6, 975) = 5850 / 1950

GCD(6, 975) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 840

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

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

GCD(3, 840) = 2520 / 840

GCD(3, 840) = 3

GCD of 888, 570, 975, 840 is 3

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1. What is the GCD of 888, 570, 975, 840?

GCD of 888, 570, 975, 840 is 3

2. Where do I get the detailed procedure to find GCD of 888, 570, 975, 840?

You can find a detailed procedure to find GCD of 888, 570, 975, 840 on our page.

3. How to find GCD of 888, 570, 975, 840 on a calculator?

You can find the GCD of 888, 570, 975, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.