GCD of 648, 357, 123, 366 Calculator

Given Input numbers are 648, 357, 123, 366

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (648, 357, 123, 366) = 3.

Given numbers are 648, 357, 123, 366

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 357 are 3 x 7 x 17

Prime factors of 123 are 3 x 41

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 648, 357, 123, 366 is 3.

Given numbers are 648, 357, 123, 366

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

Apply this formula for all numbers.

Step1:

LCM(648, 357) = 77112

GCD(648, 357) = ( 648 x 357 ) / 77112

= 648 / 357

= 648

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

Step3:

LCM(3, 366) = 366

GCD(3, 366) = ( 3 x 366 ) / 366

= 3 / 366

= 3

So, Greatest Common Divisor of 648, 357, 123, 366 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 562, 212, 467
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• GCD of 349, 649, 764, 931
• GCD of 909, 177, 199, 355
• GCD of 760, 668, 853, 424

Given numbers are 648, 357, 123, 366
The greatest common divisor of numbers 648, 357, 123, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 357, 123, 366 is 3.

1. What is the GCD of 648, 357, 123, 366?

GCD of given numbers 648, 357, 123, 366 is 3

2. How to calculate the greatest common divisor of 648, 357, 123, 366?

We can find the highest common divisor of 648, 357, 123, 366 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, 357, 123, 366 i.e 3.

3. How can I use the GCD of 648, 357, 123, 366Calculator?

Out the numbers 648, 357, 123, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.