GCD of 580, 996, 742, 610 Calculator

Given Input numbers are 580, 996, 742, 610

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (580, 996, 742, 610) = 2.

Given numbers are 580, 996, 742, 610

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 742 are 2 x 7 x 53

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 2¹

Therefore, GCD of 580, 996, 742, 610 is 2.

Given numbers are 580, 996, 742, 610

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

Apply this formula for all numbers.

Step1:

LCM(580, 996) = 144420

GCD(580, 996) = ( 580 x 996 ) / 144420

= 580 / 996

= 580

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

So, Greatest Common Divisor of 580, 996, 742, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 699, 982, 946
• GCD of 629, 719, 923, 269
• GCD of 296, 983, 931, 668
• GCD of 839, 608, 396, 936
• GCD of 843, 930, 639, 472

Given numbers are 580, 996, 742, 610
The greatest common divisor of numbers 580, 996, 742, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 996, 742, 610 is 2.

1. What is the GCD of 580, 996, 742, 610?

GCD of given numbers 580, 996, 742, 610 is 2

2. How to calculate the greatest common divisor of 580, 996, 742, 610?

We can find the highest common divisor of 580, 996, 742, 610 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, 996, 742, 610 i.e 2.

3. How can I use the GCD of 580, 996, 742, 610Calculator?

Out the numbers 580, 996, 742, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.