GCD of 724, 280, 696, 592 Calculator

Given Input numbers are 724, 280, 696, 592

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

GCD of numbers is the greatest common divisor

So, the GCD (724, 280, 696, 592) = 4.

Given numbers are 724, 280, 696, 592

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 724, 280, 696, 592 is 4.

Given numbers are 724, 280, 696, 592

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

Apply this formula for all numbers.

Step1:

LCM(724, 280) = 50680

GCD(724, 280) = ( 724 x 280 ) / 50680

= 724 / 280

= 724

Step2:

LCM(4, 696) = 696

GCD(4, 696) = ( 4 x 696 ) / 696

= 4 / 696

= 4

Step3:

LCM(4, 592) = 592

GCD(4, 592) = ( 4 x 592 ) / 592

= 4 / 592

= 4

So, Greatest Common Divisor of 724, 280, 696, 592 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 171, 770, 275
• GCD of 709, 502, 200, 182
• GCD of 822, 258, 246, 595
• GCD of 141, 134, 315, 825
• GCD of 871, 376, 801, 126

Given numbers are 724, 280, 696, 592
The greatest common divisor of numbers 724, 280, 696, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 280, 696, 592 is 4.

1. What is the GCD of 724, 280, 696, 592?

GCD of given numbers 724, 280, 696, 592 is 4

2. How to calculate the greatest common divisor of 724, 280, 696, 592?

We can find the highest common divisor of 724, 280, 696, 592 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, 280, 696, 592 i.e 4.

3. How can I use the GCD of 724, 280, 696, 592Calculator?

Out the numbers 724, 280, 696, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.