GCD of 840, 268, 59, 686 Calculator

Given Input numbers are 840, 268, 59, 686

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 59

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

1, 59

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 840, 268, 59, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 268, 59, 686 is 1.

Therefore, GCD of numbers 840, 268, 59, 686 is 1

Given Input Data is 840, 268, 59, 686

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 268 is 2 x 2 x 67

Prime Factorization of 59 is 59

Prime Factorization of 686 is 2 x 7 x 7 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(840, 268) = 56280

GCD(840, 268) = ( 840 x 268 ) / 56280

GCD(840, 268) = 225120 / 56280

GCD(840, 268) = 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 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 840, 268, 59, 686 is 1

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1. What is the GCD of 840, 268, 59, 686?

GCD of 840, 268, 59, 686 is 1

2. Where do I get the detailed procedure to find GCD of 840, 268, 59, 686?

You can find a detailed procedure to find GCD of 840, 268, 59, 686 on our page.

3. How to find GCD of 840, 268, 59, 686 on a calculator?

You can find the GCD of 840, 268, 59, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.