GCD of 648, 540, 238, 356 Calculator

Given Input numbers are 648, 540, 238, 356

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

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (648, 540, 238, 356) = 2.

Given numbers are 648, 540, 238, 356

The list of prime factors of all numbers are

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 238 are 2 x 7 x 17

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 648, 540, 238, 356 is 2.

Given numbers are 648, 540, 238, 356

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

Apply this formula for all numbers.

Step1:

LCM(648, 540) = 3240

GCD(648, 540) = ( 648 x 540 ) / 3240

= 648 / 540

= 648

Step2:

LCM(108, 238) = 12852

GCD(108, 238) = ( 108 x 238 ) / 12852

= 108 / 238

= 108

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 648, 540, 238, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 873, 528, 880
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Given numbers are 648, 540, 238, 356
The greatest common divisor of numbers 648, 540, 238, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 540, 238, 356 is 2.

1. What is the GCD of 648, 540, 238, 356?

GCD of given numbers 648, 540, 238, 356 is 2

2. How to calculate the greatest common divisor of 648, 540, 238, 356?

We can find the highest common divisor of 648, 540, 238, 356 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 648, 540, 238, 356 i.e 2.

3. How can I use the GCD of 648, 540, 238, 356Calculator?

Out the numbers 648, 540, 238, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.