GCD of 840, 187, 610, 690 Calculator

Given Input numbers are 840, 187, 610, 690

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

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 840, 187, 610, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 187, 610, 690 is 1.

Therefore, GCD of numbers 840, 187, 610, 690 is 1

Given Input Data is 840, 187, 610, 690

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

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(840, 187) = 157080

GCD(840, 187) = ( 840 x 187 ) / 157080

GCD(840, 187) = 157080 / 157080

GCD(840, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 840, 187, 610, 690 is 1

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1. What is the GCD of 840, 187, 610, 690?

GCD of 840, 187, 610, 690 is 1

2. Where do I get the detailed procedure to find GCD of 840, 187, 610, 690?

You can find a detailed procedure to find GCD of 840, 187, 610, 690 on our page.

3. How to find GCD of 840, 187, 610, 690 on a calculator?

You can find the GCD of 840, 187, 610, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.