GCD of 214, 580, 252, 852 Calculator

Given Input numbers are 214, 580, 252, 852

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

GCD of numbers is the greatest common divisor

So, the GCD (214, 580, 252, 852) = 2.

Given numbers are 214, 580, 252, 852

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 214, 580, 252, 852 is 2.

Given numbers are 214, 580, 252, 852

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

Apply this formula for all numbers.

Step1:

LCM(214, 580) = 62060

GCD(214, 580) = ( 214 x 580 ) / 62060

= 214 / 580

= 214

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 214, 580, 252, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 591, 344, 900
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• GCD of 509, 975, 385, 805
• GCD of 894, 671, 465, 286
• GCD of 341, 343, 593, 315

Given numbers are 214, 580, 252, 852
The greatest common divisor of numbers 214, 580, 252, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 580, 252, 852 is 2.

1. What is the GCD of 214, 580, 252, 852?

GCD of given numbers 214, 580, 252, 852 is 2

2. How to calculate the greatest common divisor of 214, 580, 252, 852?

We can find the highest common divisor of 214, 580, 252, 852 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 214, 580, 252, 852 i.e 2.

3. How can I use the GCD of 214, 580, 252, 852Calculator?

Out the numbers 214, 580, 252, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.