GCD of 852, 204, 292, 164 Calculator

Given Input numbers are 852, 204, 292, 164

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (852, 204, 292, 164) = 4.

Given numbers are 852, 204, 292, 164

The list of prime factors of all numbers are

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 292 are 2 x 2 x 73

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 852, 204, 292, 164 is 4.

Given numbers are 852, 204, 292, 164

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

Apply this formula for all numbers.

Step1:

LCM(852, 204) = 14484

GCD(852, 204) = ( 852 x 204 ) / 14484

= 852 / 204

= 852

Step2:

LCM(12, 292) = 876

GCD(12, 292) = ( 12 x 292 ) / 876

= 12 / 292

= 12

Step3:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4

So, Greatest Common Divisor of 852, 204, 292, 164 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 385, 413, 101
• GCD of 431, 926, 897, 878
• GCD of 165, 128, 625, 726
• GCD of 422, 307, 984, 417
• GCD of 405, 133, 155, 446

Given numbers are 852, 204, 292, 164
The greatest common divisor of numbers 852, 204, 292, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 204, 292, 164 is 4.

1. What is the GCD of 852, 204, 292, 164?

GCD of given numbers 852, 204, 292, 164 is 4

2. How to calculate the greatest common divisor of 852, 204, 292, 164?

We can find the highest common divisor of 852, 204, 292, 164 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, 204, 292, 164 i.e 4.

3. How can I use the GCD of 852, 204, 292, 164Calculator?

Out the numbers 852, 204, 292, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.