GCD of 580, 924, 298, 716 Calculator

Given Input numbers are 580, 924, 298, 716

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (580, 924, 298, 716) = 2.

Given numbers are 580, 924, 298, 716

The list of prime factors of all numbers are

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

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 298 are 2 x 149

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 580, 924, 298, 716 is 2.

Given numbers are 580, 924, 298, 716

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

Apply this formula for all numbers.

Step1:

LCM(580, 924) = 133980

GCD(580, 924) = ( 580 x 924 ) / 133980

= 580 / 924

= 580

Step2:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 580, 924, 298, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 461, 973, 468
• GCD of 745, 123, 632, 463
• GCD of 896, 580, 956, 675
• GCD of 954, 879, 425, 218
• GCD of 777, 732, 501, 858

Given numbers are 580, 924, 298, 716
The greatest common divisor of numbers 580, 924, 298, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 924, 298, 716 is 2.

1. What is the GCD of 580, 924, 298, 716?

GCD of given numbers 580, 924, 298, 716 is 2

2. How to calculate the greatest common divisor of 580, 924, 298, 716?

We can find the highest common divisor of 580, 924, 298, 716 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, 924, 298, 716 i.e 2.

3. How can I use the GCD of 580, 924, 298, 716Calculator?

Out the numbers 580, 924, 298, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.