GCD of 580, 902, 712, 362 Calculator

Given Input numbers are 580, 902, 712, 362

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 362 :

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

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (580, 902, 712, 362) = 2.

Given numbers are 580, 902, 712, 362

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 902 are 2 x 11 x 41

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 580, 902, 712, 362 is 2.

Given numbers are 580, 902, 712, 362

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

Apply this formula for all numbers.

Step1:

LCM(580, 902) = 261580

GCD(580, 902) = ( 580 x 902 ) / 261580

= 580 / 902

= 580

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 580, 902, 712, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 470, 586, 996
• GCD of 482, 432, 186, 606
• GCD of 394, 468, 764, 506
• GCD of 101, 586, 750, 391
• GCD of 172, 253, 712, 420

Given numbers are 580, 902, 712, 362
The greatest common divisor of numbers 580, 902, 712, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 902, 712, 362 is 2.

1. What is the GCD of 580, 902, 712, 362?

GCD of given numbers 580, 902, 712, 362 is 2

2. How to calculate the greatest common divisor of 580, 902, 712, 362?

We can find the highest common divisor of 580, 902, 712, 362 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 580, 902, 712, 362 i.e 2.

3. How can I use the GCD of 580, 902, 712, 362Calculator?

Out the numbers 580, 902, 712, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.