GCD of 924, 645, 768, 378 Calculator

Given Input numbers are 924, 645, 768, 378

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

GCD of numbers is the greatest common divisor

So, the GCD (924, 645, 768, 378) = 3.

Given numbers are 924, 645, 768, 378

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 645 are 3 x 5 x 43

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 924, 645, 768, 378 is 3.

Given numbers are 924, 645, 768, 378

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

Apply this formula for all numbers.

Step1:

LCM(924, 645) = 198660

GCD(924, 645) = ( 924 x 645 ) / 198660

= 924 / 645

= 924

Step2:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 924, 645, 768, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 410, 805, 999
• GCD of 321, 367, 425, 294
• GCD of 493, 608, 432, 585
• GCD of 402, 121, 974, 992
• GCD of 857, 719, 644, 653

Given numbers are 924, 645, 768, 378
The greatest common divisor of numbers 924, 645, 768, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 645, 768, 378 is 3.

1. What is the GCD of 924, 645, 768, 378?

GCD of given numbers 924, 645, 768, 378 is 3

2. How to calculate the greatest common divisor of 924, 645, 768, 378?

We can find the highest common divisor of 924, 645, 768, 378 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 924, 645, 768, 378 i.e 3.

3. How can I use the GCD of 924, 645, 768, 378Calculator?

Out the numbers 924, 645, 768, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.