GCD of 456, 209, 370, 372 Calculator

Given Input numbers are 456, 209, 370, 372

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (456, 209, 370, 372) = 1.

Given numbers are 456, 209, 370, 372

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 209 are 11 x 19

Prime factors of 370 are 2 x 5 x 37

Prime factors of 372 are 2 x 2 x 3 x 31

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

Given numbers are 456, 209, 370, 372

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

Apply this formula for all numbers.

Step1:

LCM(456, 209) = 5016

GCD(456, 209) = ( 456 x 209 ) / 5016

= 456 / 209

= 456

Step2:

LCM(19, 370) = 7030

GCD(19, 370) = ( 19 x 370 ) / 7030

= 19 / 370

= 19

Step3:

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

= 1 / 372

= 1

So, Greatest Common Divisor of 456, 209, 370, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 937, 479, 313
• GCD of 729, 141, 160, 309
• GCD of 292, 241, 579, 362
• GCD of 450, 379, 813, 804
• GCD of 182, 695, 514, 519

Given numbers are 456, 209, 370, 372
The greatest common divisor of numbers 456, 209, 370, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 209, 370, 372 is 1.

1. What is the GCD of 456, 209, 370, 372?

GCD of given numbers 456, 209, 370, 372 is 1

2. How to calculate the greatest common divisor of 456, 209, 370, 372?

We can find the highest common divisor of 456, 209, 370, 372 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 456, 209, 370, 372 i.e 1.

3. How can I use the GCD of 456, 209, 370, 372Calculator?

Out the numbers 456, 209, 370, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.