GCD of 840, 852, 396, 686 Calculator

Given Input numbers are 840, 852, 396, 686

In the factoring method, we have to find the divisors of all numbers

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (840, 852, 396, 686) = 2.

Given numbers are 840, 852, 396, 686

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 840, 852, 396, 686 is 2.

Given numbers are 840, 852, 396, 686

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(840, 852) = 59640

GCD(840, 852) = ( 840 x 852 ) / 59640

= 840 / 852

= 840

Step2:

LCM(12, 396) = 396

GCD(12, 396) = ( 12 x 396 ) / 396

= 12 / 396

= 12

Step3:

LCM(12, 686) = 4116

GCD(12, 686) = ( 12 x 686 ) / 4116

= 12 / 686

= 12

So, Greatest Common Divisor of 840, 852, 396, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 120, 655, 589
• GCD of 448, 139, 717, 201
• GCD of 184, 135, 518, 569
• GCD of 837, 164, 983, 741
• GCD of 593, 650, 142, 303

Given numbers are 840, 852, 396, 686
The greatest common divisor of numbers 840, 852, 396, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 852, 396, 686 is 2.

1. What is the GCD of 840, 852, 396, 686?

GCD of given numbers 840, 852, 396, 686 is 2

2. How to calculate the greatest common divisor of 840, 852, 396, 686?

We can find the highest common divisor of 840, 852, 396, 686 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 840, 852, 396, 686 i.e 2.

3. How can I use the GCD of 840, 852, 396, 686Calculator?

Out the numbers 840, 852, 396, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.