GCD of 814, 504, 180, 252 Calculator

Given Input numbers are 814, 504, 180, 252

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

Divisors of 814 :

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

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

GCD of numbers is the greatest common divisor

So, the GCD (814, 504, 180, 252) = 2.

Given numbers are 814, 504, 180, 252

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 814, 504, 180, 252 is 2.

Given numbers are 814, 504, 180, 252

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

Apply this formula for all numbers.

Step1:

LCM(814, 504) = 205128

GCD(814, 504) = ( 814 x 504 ) / 205128

= 814 / 504

= 814

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 252) = 252

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

= 2 / 252

= 2

So, Greatest Common Divisor of 814, 504, 180, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 616, 920, 323
• GCD of 407, 163, 454, 803
• GCD of 446, 973, 151, 294
• GCD of 796, 244, 504, 188
• GCD of 875, 100, 476, 328

Given numbers are 814, 504, 180, 252
The greatest common divisor of numbers 814, 504, 180, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 504, 180, 252 is 2.

1. What is the GCD of 814, 504, 180, 252?

GCD of given numbers 814, 504, 180, 252 is 2

2. How to calculate the greatest common divisor of 814, 504, 180, 252?

We can find the highest common divisor of 814, 504, 180, 252 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 814, 504, 180, 252 i.e 2.

3. How can I use the GCD of 814, 504, 180, 252Calculator?

Out the numbers 814, 504, 180, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.