GCD of 174, 570, 120, 792 Calculator

Given Input numbers are 174, 570, 120, 792

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (174, 570, 120, 792) = 6.

Given numbers are 174, 570, 120, 792

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 174, 570, 120, 792 is 6.

Given numbers are 174, 570, 120, 792

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

Apply this formula for all numbers.

Step1:

LCM(174, 570) = 16530

GCD(174, 570) = ( 174 x 570 ) / 16530

= 174 / 570

= 174

Step2:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

Step3:

LCM(6, 792) = 792

GCD(6, 792) = ( 6 x 792 ) / 792

= 6 / 792

= 6

So, Greatest Common Divisor of 174, 570, 120, 792 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 377, 460, 188
• GCD of 224, 274, 300, 363
• GCD of 294, 369, 715, 789
• GCD of 957, 466, 407, 802
• GCD of 444, 379, 157, 201

Given numbers are 174, 570, 120, 792
The greatest common divisor of numbers 174, 570, 120, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 570, 120, 792 is 6.

1. What is the GCD of 174, 570, 120, 792?

GCD of given numbers 174, 570, 120, 792 is 6

2. How to calculate the greatest common divisor of 174, 570, 120, 792?

We can find the highest common divisor of 174, 570, 120, 792 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 174, 570, 120, 792 i.e 6.

3. How can I use the GCD of 174, 570, 120, 792Calculator?

Out the numbers 174, 570, 120, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.