GCD of 380, 646, 912, 274 Calculator

Given Input numbers are 380, 646, 912, 274

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (380, 646, 912, 274) = 2.

Given numbers are 380, 646, 912, 274

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 646 are 2 x 17 x 19

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 380, 646, 912, 274 is 2.

Given numbers are 380, 646, 912, 274

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

Apply this formula for all numbers.

Step1:

LCM(380, 646) = 6460

GCD(380, 646) = ( 380 x 646 ) / 6460

= 380 / 646

= 380

Step2:

LCM(38, 912) = 912

GCD(38, 912) = ( 38 x 912 ) / 912

= 38 / 912

= 38

Step3:

LCM(38, 274) = 5206

GCD(38, 274) = ( 38 x 274 ) / 5206

= 38 / 274

= 38

So, Greatest Common Divisor of 380, 646, 912, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 131, 415, 858
• GCD of 990, 534, 258, 709
• GCD of 168, 143, 716, 978
• GCD of 901, 218, 330, 211
• GCD of 923, 433, 646, 338

Given numbers are 380, 646, 912, 274
The greatest common divisor of numbers 380, 646, 912, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 646, 912, 274 is 2.

1. What is the GCD of 380, 646, 912, 274?

GCD of given numbers 380, 646, 912, 274 is 2

2. How to calculate the greatest common divisor of 380, 646, 912, 274?

We can find the highest common divisor of 380, 646, 912, 274 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 380, 646, 912, 274 i.e 2.

3. How can I use the GCD of 380, 646, 912, 274Calculator?

Out the numbers 380, 646, 912, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.