GCD of 580, 942, 310, 564 Calculator

Given Input numbers are 580, 942, 310, 564

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 942 :

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

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (580, 942, 310, 564) = 2.

Given numbers are 580, 942, 310, 564

The list of prime factors of all numbers are

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

Prime factors of 942 are 2 x 3 x 157

Prime factors of 310 are 2 x 5 x 31

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 580, 942, 310, 564 is 2.

Given numbers are 580, 942, 310, 564

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

Apply this formula for all numbers.

Step1:

LCM(580, 942) = 273180

GCD(580, 942) = ( 580 x 942 ) / 273180

= 580 / 942

= 580

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 580, 942, 310, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 800, 504, 374
• GCD of 169, 338, 379, 489
• GCD of 157, 468, 569, 109
• GCD of 315, 851, 698, 364
• GCD of 218, 792, 553, 156

Given numbers are 580, 942, 310, 564
The greatest common divisor of numbers 580, 942, 310, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 942, 310, 564 is 2.

1. What is the GCD of 580, 942, 310, 564?

GCD of given numbers 580, 942, 310, 564 is 2

2. How to calculate the greatest common divisor of 580, 942, 310, 564?

We can find the highest common divisor of 580, 942, 310, 564 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, 942, 310, 564 i.e 2.

3. How can I use the GCD of 580, 942, 310, 564Calculator?

Out the numbers 580, 942, 310, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.