GCD of 180, 274, 476, 774 Calculator

Given Input numbers are 180, 274, 476, 774

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (180, 274, 476, 774) = 2.

Given numbers are 180, 274, 476, 774

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 274 are 2 x 137

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 180, 274, 476, 774 is 2.

Given numbers are 180, 274, 476, 774

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

Apply this formula for all numbers.

Step1:

LCM(180, 274) = 24660

GCD(180, 274) = ( 180 x 274 ) / 24660

= 180 / 274

= 180

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

So, Greatest Common Divisor of 180, 274, 476, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 613, 129, 904
• GCD of 869, 626, 113, 154
• GCD of 695, 582, 403, 529
• GCD of 493, 181, 351, 821
• GCD of 102, 361, 591, 397

Given numbers are 180, 274, 476, 774
The greatest common divisor of numbers 180, 274, 476, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 274, 476, 774 is 2.

1. What is the GCD of 180, 274, 476, 774?

GCD of given numbers 180, 274, 476, 774 is 2

2. How to calculate the greatest common divisor of 180, 274, 476, 774?

We can find the highest common divisor of 180, 274, 476, 774 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 180, 274, 476, 774 i.e 2.

3. How can I use the GCD of 180, 274, 476, 774Calculator?

Out the numbers 180, 274, 476, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.