GCD of 724, 984, 856, 730 Calculator

Given Input numbers are 724, 984, 856, 730

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (724, 984, 856, 730) = 2.

Given numbers are 724, 984, 856, 730

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 724, 984, 856, 730 is 2.

Given numbers are 724, 984, 856, 730

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

Apply this formula for all numbers.

Step1:

LCM(724, 984) = 178104

GCD(724, 984) = ( 724 x 984 ) / 178104

= 724 / 984

= 724

Step2:

LCM(4, 856) = 856

GCD(4, 856) = ( 4 x 856 ) / 856

= 4 / 856

= 4

Step3:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4

So, Greatest Common Divisor of 724, 984, 856, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 118, 763, 430
• GCD of 493, 585, 689, 660
• GCD of 863, 939, 156, 749
• GCD of 381, 912, 647, 508
• GCD of 777, 467, 184, 727

Given numbers are 724, 984, 856, 730
The greatest common divisor of numbers 724, 984, 856, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 984, 856, 730 is 2.

1. What is the GCD of 724, 984, 856, 730?

GCD of given numbers 724, 984, 856, 730 is 2

2. How to calculate the greatest common divisor of 724, 984, 856, 730?

We can find the highest common divisor of 724, 984, 856, 730 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 724, 984, 856, 730 i.e 2.

3. How can I use the GCD of 724, 984, 856, 730Calculator?

Out the numbers 724, 984, 856, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.