GCD of 486, 378, 390, 974 Calculator

Given Input numbers are 486, 378, 390, 974

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (486, 378, 390, 974) = 2.

Given numbers are 486, 378, 390, 974

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 486, 378, 390, 974 is 2.

Given numbers are 486, 378, 390, 974

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

Apply this formula for all numbers.

Step1:

LCM(486, 378) = 3402

GCD(486, 378) = ( 486 x 378 ) / 3402

= 486 / 378

= 486

Step2:

LCM(54, 390) = 3510

GCD(54, 390) = ( 54 x 390 ) / 3510

= 54 / 390

= 54

Step3:

LCM(6, 974) = 2922

GCD(6, 974) = ( 6 x 974 ) / 2922

= 6 / 974

= 6

So, Greatest Common Divisor of 486, 378, 390, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 124, 941, 477
• GCD of 960, 646, 435, 500
• GCD of 838, 977, 109, 950
• GCD of 811, 635, 413, 485
• GCD of 312, 393, 517, 270

Given numbers are 486, 378, 390, 974
The greatest common divisor of numbers 486, 378, 390, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 378, 390, 974 is 2.

1. What is the GCD of 486, 378, 390, 974?

GCD of given numbers 486, 378, 390, 974 is 2

2. How to calculate the greatest common divisor of 486, 378, 390, 974?

We can find the highest common divisor of 486, 378, 390, 974 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 486, 378, 390, 974 i.e 2.

3. How can I use the GCD of 486, 378, 390, 974Calculator?

Out the numbers 486, 378, 390, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.