GCD of 378, 924, 286, 964 Calculator

Given Input numbers are 378, 924, 286, 964

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 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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (378, 924, 286, 964) = 2.

Given numbers are 378, 924, 286, 964

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 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 286 are 2 x 11 x 13

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 378, 924, 286, 964 is 2.

Given numbers are 378, 924, 286, 964

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

Apply this formula for all numbers.

Step1:

LCM(378, 924) = 8316

GCD(378, 924) = ( 378 x 924 ) / 8316

= 378 / 924

= 378

Step2:

LCM(42, 286) = 6006

GCD(42, 286) = ( 42 x 286 ) / 6006

= 42 / 286

= 42

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 378, 924, 286, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 159, 662, 670
• GCD of 207, 542, 450, 940
• GCD of 375, 723, 142, 798
• GCD of 957, 118, 505, 586
• GCD of 915, 458, 900, 713

Given numbers are 378, 924, 286, 964
The greatest common divisor of numbers 378, 924, 286, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 924, 286, 964 is 2.

1. What is the GCD of 378, 924, 286, 964?

GCD of given numbers 378, 924, 286, 964 is 2

2. How to calculate the greatest common divisor of 378, 924, 286, 964?

We can find the highest common divisor of 378, 924, 286, 964 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, 924, 286, 964 i.e 2.

3. How can I use the GCD of 378, 924, 286, 964Calculator?

Out the numbers 378, 924, 286, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.