GCD of 362, 354, 180, 296 Calculator

Given Input numbers are 362, 354, 180, 296

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (362, 354, 180, 296) = 2.

Given numbers are 362, 354, 180, 296

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 362, 354, 180, 296 is 2.

Given numbers are 362, 354, 180, 296

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

Apply this formula for all numbers.

Step1:

LCM(362, 354) = 64074

GCD(362, 354) = ( 362 x 354 ) / 64074

= 362 / 354

= 362

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

So, Greatest Common Divisor of 362, 354, 180, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 982, 909, 434
• GCD of 758, 846, 959, 551
• GCD of 172, 849, 589, 653
• GCD of 295, 972, 692, 512
• GCD of 173, 451, 783, 427

Given numbers are 362, 354, 180, 296
The greatest common divisor of numbers 362, 354, 180, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 354, 180, 296 is 2.

1. What is the GCD of 362, 354, 180, 296?

GCD of given numbers 362, 354, 180, 296 is 2

2. How to calculate the greatest common divisor of 362, 354, 180, 296?

We can find the highest common divisor of 362, 354, 180, 296 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 362, 354, 180, 296 i.e 2.

3. How can I use the GCD of 362, 354, 180, 296Calculator?

Out the numbers 362, 354, 180, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.