GCD of 730, 180, 522 Calculator

Given Input numbers are 730, 180, 522

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 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 (730, 180, 522) = 2.

Given numbers are 730, 180, 522

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

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

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

The highest common occurrence is 2¹

Therefore, GCD of 730, 180, 522 is 2.

Given numbers are 730, 180, 522

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

Apply this formula for all numbers.

Step1:

LCM(730, 180) = 13140

GCD(730, 180) = ( 730 x 180 ) / 13140

= 730 / 180

= 730

Step2:

LCM(10, 522) = 2610

GCD(10, 522) = ( 10 x 522 ) / 2610

= 10 / 522

= 10

So, Greatest Common Divisor of 730, 180, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 869, 885
• GCD of 633, 321, 650
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• GCD of 850, 592, 535
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Given numbers are 730, 180, 522
The greatest common divisor of numbers 730, 180, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 180, 522 is 2.

1. What is the GCD of 730, 180, 522?

GCD of given numbers 730, 180, 522 is 2

2. How to calculate the greatest common divisor of 730, 180, 522?

We can find the highest common divisor of 730, 180, 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 730, 180, 522 i.e 2.

3. How can I use the GCD of 730, 180, 522Calculator?

Out the numbers 730, 180, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.