GCD of 852, 286, 196, 504 Calculator

Given Input numbers are 852, 286, 196, 504

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

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (852, 286, 196, 504) = 2.

Given numbers are 852, 286, 196, 504

The list of prime factors of all numbers are

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

Prime factors of 286 are 2 x 11 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 852, 286, 196, 504 is 2.

Given numbers are 852, 286, 196, 504

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

Apply this formula for all numbers.

Step1:

LCM(852, 286) = 121836

GCD(852, 286) = ( 852 x 286 ) / 121836

= 852 / 286

= 852

Step2:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 852, 286, 196, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 574, 193, 939
• GCD of 213, 943, 132, 418
• GCD of 517, 563, 185, 759
• GCD of 200, 894, 193, 840
• GCD of 536, 472, 237, 360

Given numbers are 852, 286, 196, 504
The greatest common divisor of numbers 852, 286, 196, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 286, 196, 504 is 2.

1. What is the GCD of 852, 286, 196, 504?

GCD of given numbers 852, 286, 196, 504 is 2

2. How to calculate the greatest common divisor of 852, 286, 196, 504?

We can find the highest common divisor of 852, 286, 196, 504 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 852, 286, 196, 504 i.e 2.

3. How can I use the GCD of 852, 286, 196, 504Calculator?

Out the numbers 852, 286, 196, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.