GCD of 586, 984, 756, 126 Calculator

Given Input numbers are 586, 984, 756, 126

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (586, 984, 756, 126) = 2.

Given numbers are 586, 984, 756, 126

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 586, 984, 756, 126 is 2.

Given numbers are 586, 984, 756, 126

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

Apply this formula for all numbers.

Step1:

LCM(586, 984) = 288312

GCD(586, 984) = ( 586 x 984 ) / 288312

= 586 / 984

= 586

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 586, 984, 756, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 812, 971, 844
• GCD of 260, 444, 329, 808
• GCD of 865, 175, 337, 565
• GCD of 213, 346, 519, 585
• GCD of 637, 179, 227, 998

Given numbers are 586, 984, 756, 126
The greatest common divisor of numbers 586, 984, 756, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 984, 756, 126 is 2.

1. What is the GCD of 586, 984, 756, 126?

GCD of given numbers 586, 984, 756, 126 is 2

2. How to calculate the greatest common divisor of 586, 984, 756, 126?

We can find the highest common divisor of 586, 984, 756, 126 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 586, 984, 756, 126 i.e 2.

3. How can I use the GCD of 586, 984, 756, 126Calculator?

Out the numbers 586, 984, 756, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.