GCD of 299, 164, 312, 370 Calculator

Given Input numbers are 299, 164, 312, 370

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

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 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 (299, 164, 312, 370) = 1.

Given numbers are 299, 164, 312, 370

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 164 are 2 x 2 x 41

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

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 299, 164, 312, 370

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

Apply this formula for all numbers.

Step1:

LCM(299, 164) = 49036

GCD(299, 164) = ( 299 x 164 ) / 49036

= 299 / 164

= 299

Step2:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

Step3:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1

So, Greatest Common Divisor of 299, 164, 312, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 174, 677, 102
• GCD of 152, 561, 745, 323
• GCD of 460, 140, 688, 463
• GCD of 197, 736, 541, 156
• GCD of 436, 562, 888, 596

Given numbers are 299, 164, 312, 370
The greatest common divisor of numbers 299, 164, 312, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 164, 312, 370 is 1.

1. What is the GCD of 299, 164, 312, 370?

GCD of given numbers 299, 164, 312, 370 is 1

2. How to calculate the greatest common divisor of 299, 164, 312, 370?

We can find the highest common divisor of 299, 164, 312, 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 299, 164, 312, 370 i.e 1.

3. How can I use the GCD of 299, 164, 312, 370Calculator?

Out the numbers 299, 164, 312, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.