GCD of 378, 288, 368, 820 Calculator

Given Input numbers are 378, 288, 368, 820

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (378, 288, 368, 820) = 2.

Given numbers are 378, 288, 368, 820

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 378, 288, 368, 820 is 2.

Given numbers are 378, 288, 368, 820

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

Apply this formula for all numbers.

Step1:

LCM(378, 288) = 6048

GCD(378, 288) = ( 378 x 288 ) / 6048

= 378 / 288

= 378

Step2:

LCM(18, 368) = 3312

GCD(18, 368) = ( 18 x 368 ) / 3312

= 18 / 368

= 18

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 378, 288, 368, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 598, 632, 941
• GCD of 301, 292, 891, 827
• GCD of 761, 449, 212, 979
• GCD of 952, 771, 906, 526
• GCD of 425, 281, 277, 301

Given numbers are 378, 288, 368, 820
The greatest common divisor of numbers 378, 288, 368, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 288, 368, 820 is 2.

1. What is the GCD of 378, 288, 368, 820?

GCD of given numbers 378, 288, 368, 820 is 2

2. How to calculate the greatest common divisor of 378, 288, 368, 820?

We can find the highest common divisor of 378, 288, 368, 820 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 378, 288, 368, 820 i.e 2.

3. How can I use the GCD of 378, 288, 368, 820Calculator?

Out the numbers 378, 288, 368, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.