GCD of 969, 840, 18, 200 Calculator

Given Input numbers are 969, 840, 18, 200

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 969, 840, 18, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 840, 18, 200 is 1.

Therefore, GCD of numbers 969, 840, 18, 200 is 1

Given Input Data is 969, 840, 18, 200

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

Prime Factorization of 969 is 3 x 17 x 19

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(969, 840) = 271320

GCD(969, 840) = ( 969 x 840 ) / 271320

GCD(969, 840) = 813960 / 271320

GCD(969, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 200

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

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

GCD(3, 200) = 600 / 600

GCD(3, 200) = 1

GCD of 969, 840, 18, 200 is 1

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1. What is the GCD of 969, 840, 18, 200?

GCD of 969, 840, 18, 200 is 1

2. Where do I get the detailed procedure to find GCD of 969, 840, 18, 200?

You can find a detailed procedure to find GCD of 969, 840, 18, 200 on our page.

3. How to find GCD of 969, 840, 18, 200 on a calculator?

You can find the GCD of 969, 840, 18, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.