GCD of 852, 664, 360, 828 Calculator

Given Input numbers are 852, 664, 360, 828

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (852, 664, 360, 828) = 4.

Given numbers are 852, 664, 360, 828

The list of prime factors of all numbers are

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

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 852, 664, 360, 828 is 4.

Given numbers are 852, 664, 360, 828

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

Apply this formula for all numbers.

Step1:

LCM(852, 664) = 141432

GCD(852, 664) = ( 852 x 664 ) / 141432

= 852 / 664

= 852

Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

Step3:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

So, Greatest Common Divisor of 852, 664, 360, 828 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 858, 490, 359
• GCD of 181, 440, 523, 192
• GCD of 756, 269, 328, 847
• GCD of 100, 131, 551, 863
• GCD of 597, 310, 709, 913

Given numbers are 852, 664, 360, 828
The greatest common divisor of numbers 852, 664, 360, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 664, 360, 828 is 4.

1. What is the GCD of 852, 664, 360, 828?

GCD of given numbers 852, 664, 360, 828 is 4

2. How to calculate the greatest common divisor of 852, 664, 360, 828?

We can find the highest common divisor of 852, 664, 360, 828 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, 664, 360, 828 i.e 4.

3. How can I use the GCD of 852, 664, 360, 828Calculator?

Out the numbers 852, 664, 360, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.