GCD of 580, 366, 906, 942 Calculator

Given Input numbers are 580, 366, 906, 942

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (580, 366, 906, 942) = 2.

Given numbers are 580, 366, 906, 942

The list of prime factors of all numbers are

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

Prime factors of 366 are 2 x 3 x 61

Prime factors of 906 are 2 x 3 x 151

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 580, 366, 906, 942 is 2.

Given numbers are 580, 366, 906, 942

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

Apply this formula for all numbers.

Step1:

LCM(580, 366) = 106140

GCD(580, 366) = ( 580 x 366 ) / 106140

= 580 / 366

= 580

Step2:

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

= 2 / 906

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 580, 366, 906, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 912, 676, 270
• GCD of 691, 746, 413, 938
• GCD of 155, 269, 224, 167
• GCD of 390, 486, 396, 538
• GCD of 116, 449, 122, 882

Given numbers are 580, 366, 906, 942
The greatest common divisor of numbers 580, 366, 906, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 366, 906, 942 is 2.

1. What is the GCD of 580, 366, 906, 942?

GCD of given numbers 580, 366, 906, 942 is 2

2. How to calculate the greatest common divisor of 580, 366, 906, 942?

We can find the highest common divisor of 580, 366, 906, 942 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, 366, 906, 942 i.e 2.

3. How can I use the GCD of 580, 366, 906, 942Calculator?

Out the numbers 580, 366, 906, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.