GCD of 378, 386, 60, 648 Calculator

Given Input numbers are 378, 386, 60, 648

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 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (378, 386, 60, 648) = 2.

Given numbers are 378, 386, 60, 648

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 386 are 2 x 193

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 378, 386, 60, 648 is 2.

Given numbers are 378, 386, 60, 648

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

Apply this formula for all numbers.

Step1:

LCM(378, 386) = 72954

GCD(378, 386) = ( 378 x 386 ) / 72954

= 378 / 386

= 378

Step2:

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 378, 386, 60, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 615, 11, 418
• GCD of 316, 904, 87, 355
• GCD of 975, 551, 22, 177
• GCD of 561, 917, 14, 272
• GCD of 135, 889, 39, 998

Given numbers are 378, 386, 60, 648
The greatest common divisor of numbers 378, 386, 60, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 386, 60, 648 is 2.

1. What is the GCD of 378, 386, 60, 648?

GCD of given numbers 378, 386, 60, 648 is 2

2. How to calculate the greatest common divisor of 378, 386, 60, 648?

We can find the highest common divisor of 378, 386, 60, 648 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, 386, 60, 648 i.e 2.

3. How can I use the GCD of 378, 386, 60, 648Calculator?

Out the numbers 378, 386, 60, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.