GCD of 816, 402, 320, 252 Calculator

Given Input numbers are 816, 402, 320, 252

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 (816, 402, 320, 252) = 2.

Given numbers are 816, 402, 320, 252

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 402 are 2 x 3 x 67

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 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 816, 402, 320, 252 is 2.

Given numbers are 816, 402, 320, 252

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

Apply this formula for all numbers.

Step1:

LCM(816, 402) = 54672

GCD(816, 402) = ( 816 x 402 ) / 54672

= 816 / 402

= 816

Step2:

LCM(6, 320) = 960

GCD(6, 320) = ( 6 x 320 ) / 960

= 6 / 320

= 6

Step3:

LCM(2, 252) = 252

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

= 2 / 252

= 2

So, Greatest Common Divisor of 816, 402, 320, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 610, 742, 150
• GCD of 178, 810, 596, 421
• GCD of 748, 413, 927, 428
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Given numbers are 816, 402, 320, 252
The greatest common divisor of numbers 816, 402, 320, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 402, 320, 252 is 2.

1. What is the GCD of 816, 402, 320, 252?

GCD of given numbers 816, 402, 320, 252 is 2

2. How to calculate the greatest common divisor of 816, 402, 320, 252?

We can find the highest common divisor of 816, 402, 320, 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 816, 402, 320, 252 i.e 2.

3. How can I use the GCD of 816, 402, 320, 252Calculator?

Out the numbers 816, 402, 320, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.