GCD of 724, 640, 584 Calculator

Given Input numbers are 724, 640, 584

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 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (724, 640, 584) = 4.

Given numbers are 724, 640, 584

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2²

Therefore, GCD of 724, 640, 584 is 4.

Given numbers are 724, 640, 584

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

Apply this formula for all numbers.

Step1:

LCM(724, 640) = 115840

GCD(724, 640) = ( 724 x 640 ) / 115840

= 724 / 640

= 724

Step2:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

So, Greatest Common Divisor of 724, 640, 584 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 243, 748
• GCD of 228, 884, 471
• GCD of 579, 155, 624
• GCD of 848, 154, 643
• GCD of 744, 366, 755

Given numbers are 724, 640, 584
The greatest common divisor of numbers 724, 640, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 640, 584 is 4.

1. What is the GCD of 724, 640, 584?

GCD of given numbers 724, 640, 584 is 4

2. How to calculate the greatest common divisor of 724, 640, 584?

We can find the highest common divisor of 724, 640, 584 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, 640, 584 i.e 4.

3. How can I use the GCD of 724, 640, 584Calculator?

Out the numbers 724, 640, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.