GCD of 378, 936, 471, 462 Calculator

Given Input numbers are 378, 936, 471, 462

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (378, 936, 471, 462) = 3.

Given numbers are 378, 936, 471, 462

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 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 471 are 3 x 157

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 378, 936, 471, 462 is 3.

Given numbers are 378, 936, 471, 462

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

Apply this formula for all numbers.

Step1:

LCM(378, 936) = 19656

GCD(378, 936) = ( 378 x 936 ) / 19656

= 378 / 936

= 378

Step2:

LCM(18, 471) = 2826

GCD(18, 471) = ( 18 x 471 ) / 2826

= 18 / 471

= 18

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 378, 936, 471, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 764, 149, 647
• GCD of 266, 481, 112, 428
• GCD of 271, 470, 250, 576
• GCD of 527, 692, 855, 340
• GCD of 825, 687, 928, 622

Given numbers are 378, 936, 471, 462
The greatest common divisor of numbers 378, 936, 471, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 936, 471, 462 is 3.

1. What is the GCD of 378, 936, 471, 462?

GCD of given numbers 378, 936, 471, 462 is 3

2. How to calculate the greatest common divisor of 378, 936, 471, 462?

We can find the highest common divisor of 378, 936, 471, 462 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, 936, 471, 462 i.e 3.

3. How can I use the GCD of 378, 936, 471, 462Calculator?

Out the numbers 378, 936, 471, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.