GCD of 264, 580, 658, 994 Calculator

Given Input numbers are 264, 580, 658, 994

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (264, 580, 658, 994) = 2.

Given numbers are 264, 580, 658, 994

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 264, 580, 658, 994 is 2.

Given numbers are 264, 580, 658, 994

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

Apply this formula for all numbers.

Step1:

LCM(264, 580) = 38280

GCD(264, 580) = ( 264 x 580 ) / 38280

= 264 / 580

= 264

Step2:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 264, 580, 658, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 768, 382, 252
• GCD of 894, 610, 418, 767
• GCD of 496, 348, 838, 339
• GCD of 167, 168, 867, 575
• GCD of 366, 798, 795, 611

Given numbers are 264, 580, 658, 994
The greatest common divisor of numbers 264, 580, 658, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 580, 658, 994 is 2.

1. What is the GCD of 264, 580, 658, 994?

GCD of given numbers 264, 580, 658, 994 is 2

2. How to calculate the greatest common divisor of 264, 580, 658, 994?

We can find the highest common divisor of 264, 580, 658, 994 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 264, 580, 658, 994 i.e 2.

3. How can I use the GCD of 264, 580, 658, 994Calculator?

Out the numbers 264, 580, 658, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.