GCD of 852, 752, 218, 814 Calculator

Given Input numbers are 852, 752, 218, 814

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (852, 752, 218, 814) = 2.

Given numbers are 852, 752, 218, 814

The list of prime factors of all numbers are

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 218 are 2 x 109

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 852, 752, 218, 814 is 2.

Given numbers are 852, 752, 218, 814

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

Apply this formula for all numbers.

Step1:

LCM(852, 752) = 160176

GCD(852, 752) = ( 852 x 752 ) / 160176

= 852 / 752

= 852

Step2:

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

= 4 / 218

= 4

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 852, 752, 218, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 533, 240, 264
• GCD of 833, 564, 155, 223
• GCD of 918, 670, 825, 530
• GCD of 818, 522, 250, 666
• GCD of 926, 838, 891, 751

Given numbers are 852, 752, 218, 814
The greatest common divisor of numbers 852, 752, 218, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 752, 218, 814 is 2.

1. What is the GCD of 852, 752, 218, 814?

GCD of given numbers 852, 752, 218, 814 is 2

2. How to calculate the greatest common divisor of 852, 752, 218, 814?

We can find the highest common divisor of 852, 752, 218, 814 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, 752, 218, 814 i.e 2.

3. How can I use the GCD of 852, 752, 218, 814Calculator?

Out the numbers 852, 752, 218, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.