GCD of 914, 938, 184, 361 Calculator

Given Input numbers are 914, 938, 184, 361

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (914, 938, 184, 361) = 1.

Given numbers are 914, 938, 184, 361

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 938 are 2 x 7 x 67

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 361 are 19 x 19

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

Given numbers are 914, 938, 184, 361

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

Apply this formula for all numbers.

Step1:

LCM(914, 938) = 428666

GCD(914, 938) = ( 914 x 938 ) / 428666

= 914 / 938

= 914

Step2:

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

= 2 / 184

= 2

Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

So, Greatest Common Divisor of 914, 938, 184, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 555, 302, 627
• GCD of 605, 276, 952, 678
• GCD of 831, 340, 818, 556
• GCD of 669, 179, 890, 736
• GCD of 448, 736, 477, 302

Given numbers are 914, 938, 184, 361
The greatest common divisor of numbers 914, 938, 184, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 938, 184, 361 is 1.

1. What is the GCD of 914, 938, 184, 361?

GCD of given numbers 914, 938, 184, 361 is 1

2. How to calculate the greatest common divisor of 914, 938, 184, 361?

We can find the highest common divisor of 914, 938, 184, 361 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 914, 938, 184, 361 i.e 1.

3. How can I use the GCD of 914, 938, 184, 361Calculator?

Out the numbers 914, 938, 184, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.