GCD of 397, 312, 118, 144 Calculator

Given Input numbers are 397, 312, 118, 144

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (397, 312, 118, 144) = 1.

Given numbers are 397, 312, 118, 144

The list of prime factors of all numbers are

Prime factors of 397 are 397

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

Prime factors of 118 are 2 x 59

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 397, 312, 118, 144

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

Apply this formula for all numbers.

Step1:

LCM(397, 312) = 123864

GCD(397, 312) = ( 397 x 312 ) / 123864

= 397 / 312

= 397

Step2:

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

= 1 / 118

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 397, 312, 118, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 420, 303, 433
• GCD of 308, 707, 315, 419
• GCD of 849, 745, 717, 399
• GCD of 477, 443, 314, 402
• GCD of 131, 856, 451, 285

Given numbers are 397, 312, 118, 144
The greatest common divisor of numbers 397, 312, 118, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 312, 118, 144 is 1.

1. What is the GCD of 397, 312, 118, 144?

GCD of given numbers 397, 312, 118, 144 is 1

2. How to calculate the greatest common divisor of 397, 312, 118, 144?

We can find the highest common divisor of 397, 312, 118, 144 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 397, 312, 118, 144 i.e 1.

3. How can I use the GCD of 397, 312, 118, 144Calculator?

Out the numbers 397, 312, 118, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.