GCD of 174, 612, 798, 522 Calculator

Given Input numbers are 174, 612, 798, 522

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (174, 612, 798, 522) = 6.

Given numbers are 174, 612, 798, 522

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 174, 612, 798, 522 is 6.

Given numbers are 174, 612, 798, 522

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

Apply this formula for all numbers.

Step1:

LCM(174, 612) = 17748

GCD(174, 612) = ( 174 x 612 ) / 17748

= 174 / 612

= 174

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 522) = 522

GCD(6, 522) = ( 6 x 522 ) / 522

= 6 / 522

= 6

So, Greatest Common Divisor of 174, 612, 798, 522 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 887, 740, 735
• GCD of 232, 241, 748, 181
• GCD of 530, 503, 720, 973
• GCD of 850, 881, 142, 107
• GCD of 473, 504, 799, 904

Given numbers are 174, 612, 798, 522
The greatest common divisor of numbers 174, 612, 798, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 612, 798, 522 is 6.

1. What is the GCD of 174, 612, 798, 522?

GCD of given numbers 174, 612, 798, 522 is 6

2. How to calculate the greatest common divisor of 174, 612, 798, 522?

We can find the highest common divisor of 174, 612, 798, 522 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, 612, 798, 522 i.e 6.

3. How can I use the GCD of 174, 612, 798, 522Calculator?

Out the numbers 174, 612, 798, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.