GCD of 180, 294, 170, 374 Calculator

Given Input numbers are 180, 294, 170, 374

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (180, 294, 170, 374) = 2.

Given numbers are 180, 294, 170, 374

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 294 are 2 x 3 x 7 x 7

Prime factors of 170 are 2 x 5 x 17

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 180, 294, 170, 374 is 2.

Given numbers are 180, 294, 170, 374

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

Apply this formula for all numbers.

Step1:

LCM(180, 294) = 8820

GCD(180, 294) = ( 180 x 294 ) / 8820

= 180 / 294

= 180

Step2:

LCM(6, 170) = 510

GCD(6, 170) = ( 6 x 170 ) / 510

= 6 / 170

= 6

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 180, 294, 170, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 819, 724, 364
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Given numbers are 180, 294, 170, 374
The greatest common divisor of numbers 180, 294, 170, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 294, 170, 374 is 2.

1. What is the GCD of 180, 294, 170, 374?

GCD of given numbers 180, 294, 170, 374 is 2

2. How to calculate the greatest common divisor of 180, 294, 170, 374?

We can find the highest common divisor of 180, 294, 170, 374 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, 294, 170, 374 i.e 2.

3. How can I use the GCD of 180, 294, 170, 374Calculator?

Out the numbers 180, 294, 170, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.