GCD of 688, 636, 59, 840 Calculator

Given Input numbers are 688, 636, 59, 840

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 688, 636, 59, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 636, 59, 840 is 1.

Therefore, GCD of numbers 688, 636, 59, 840 is 1

Given Input Data is 688, 636, 59, 840

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 59 is 59

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

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(688, 636) = 109392

GCD(688, 636) = ( 688 x 636 ) / 109392

GCD(688, 636) = 437568 / 109392

GCD(688, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 59

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

LCM(4, 59) = 236

GCD(4, 59) = ( 4 x 59 ) / 236

GCD(4, 59) = 236 / 236

GCD(4, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 688, 636, 59, 840 is 1

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1. What is the GCD of 688, 636, 59, 840?

GCD of 688, 636, 59, 840 is 1

2. Where do I get the detailed procedure to find GCD of 688, 636, 59, 840?

You can find a detailed procedure to find GCD of 688, 636, 59, 840 on our page.

3. How to find GCD of 688, 636, 59, 840 on a calculator?

You can find the GCD of 688, 636, 59, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.