GCD of 117, 312, 438, 370 Calculator

Given Input numbers are 117, 312, 438, 370

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 370 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (117, 312, 438, 370) = 1.

Given numbers are 117, 312, 438, 370

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 370 are 2 x 5 x 37

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

Given numbers are 117, 312, 438, 370

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

Apply this formula for all numbers.

Step1:

LCM(117, 312) = 936

GCD(117, 312) = ( 117 x 312 ) / 936

= 117 / 312

= 117

Step2:

LCM(39, 438) = 5694

GCD(39, 438) = ( 39 x 438 ) / 5694

= 39 / 438

= 39

Step3:

LCM(3, 370) = 1110

GCD(3, 370) = ( 3 x 370 ) / 1110

= 3 / 370

= 3

So, Greatest Common Divisor of 117, 312, 438, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 692, 909, 282
• GCD of 891, 583, 172, 664
• GCD of 148, 225, 751, 488
• GCD of 784, 137, 165, 555
• GCD of 516, 710, 412, 478

Given numbers are 117, 312, 438, 370
The greatest common divisor of numbers 117, 312, 438, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 312, 438, 370 is 1.

1. What is the GCD of 117, 312, 438, 370?

GCD of given numbers 117, 312, 438, 370 is 1

2. How to calculate the greatest common divisor of 117, 312, 438, 370?

We can find the highest common divisor of 117, 312, 438, 370 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 117, 312, 438, 370 i.e 1.

3. How can I use the GCD of 117, 312, 438, 370Calculator?

Out the numbers 117, 312, 438, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.