GCD of 378, 609, 112, 732 Calculator

Given Input numbers are 378, 609, 112, 732

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

GCD of numbers is the greatest common divisor

So, the GCD (378, 609, 112, 732) = 1.

Given numbers are 378, 609, 112, 732

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 609 are 3 x 7 x 29

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 378, 609, 112, 732

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

Apply this formula for all numbers.

Step1:

LCM(378, 609) = 10962

GCD(378, 609) = ( 378 x 609 ) / 10962

= 378 / 609

= 378

Step2:

LCM(21, 112) = 336

GCD(21, 112) = ( 21 x 112 ) / 336

= 21 / 112

= 21

Step3:

LCM(7, 732) = 5124

GCD(7, 732) = ( 7 x 732 ) / 5124

= 7 / 732

= 7

So, Greatest Common Divisor of 378, 609, 112, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 191, 842, 596
• GCD of 806, 429, 681, 764
• GCD of 580, 398, 156, 706
• GCD of 870, 540, 704, 906
• GCD of 632, 918, 283, 999

Given numbers are 378, 609, 112, 732
The greatest common divisor of numbers 378, 609, 112, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 609, 112, 732 is 1.

1. What is the GCD of 378, 609, 112, 732?

GCD of given numbers 378, 609, 112, 732 is 1

2. How to calculate the greatest common divisor of 378, 609, 112, 732?

We can find the highest common divisor of 378, 609, 112, 732 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, 609, 112, 732 i.e 1.

3. How can I use the GCD of 378, 609, 112, 732Calculator?

Out the numbers 378, 609, 112, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.