GCD of 732, 378, 360, 442 Calculator

Given Input numbers are 732, 378, 360, 442

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (732, 378, 360, 442) = 2.

Given numbers are 732, 378, 360, 442

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 732, 378, 360, 442 is 2.

Given numbers are 732, 378, 360, 442

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

Apply this formula for all numbers.

Step1:

LCM(732, 378) = 46116

GCD(732, 378) = ( 732 x 378 ) / 46116

= 732 / 378

= 732

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 442) = 1326

GCD(6, 442) = ( 6 x 442 ) / 1326

= 6 / 442

= 6

So, Greatest Common Divisor of 732, 378, 360, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 334, 752, 193
• GCD of 235, 616, 775, 447
• GCD of 577, 763, 427, 198
• GCD of 343, 110, 479, 562
• GCD of 564, 481, 841, 339

Given numbers are 732, 378, 360, 442
The greatest common divisor of numbers 732, 378, 360, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 378, 360, 442 is 2.

1. What is the GCD of 732, 378, 360, 442?

GCD of given numbers 732, 378, 360, 442 is 2

2. How to calculate the greatest common divisor of 732, 378, 360, 442?

We can find the highest common divisor of 732, 378, 360, 442 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 732, 378, 360, 442 i.e 2.

3. How can I use the GCD of 732, 378, 360, 442Calculator?

Out the numbers 732, 378, 360, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.