GCD of 800, 736, 528, 580 Calculator

Given Input numbers are 800, 736, 528, 580

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

GCD of numbers is the greatest common divisor

So, the GCD (800, 736, 528, 580) = 4.

Given numbers are 800, 736, 528, 580

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

The highest common occurrence is 2²

Therefore, GCD of 800, 736, 528, 580 is 4.

Given numbers are 800, 736, 528, 580

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

Apply this formula for all numbers.

Step1:

LCM(800, 736) = 18400

GCD(800, 736) = ( 800 x 736 ) / 18400

= 800 / 736

= 800

Step2:

LCM(32, 528) = 1056

GCD(32, 528) = ( 32 x 528 ) / 1056

= 32 / 528

= 32

Step3:

LCM(16, 580) = 2320

GCD(16, 580) = ( 16 x 580 ) / 2320

= 16 / 580

= 16

So, Greatest Common Divisor of 800, 736, 528, 580 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 999, 208, 631
• GCD of 273, 455, 464, 428
• GCD of 709, 508, 383, 619
• GCD of 356, 430, 777, 459
• GCD of 518, 511, 996, 829

Given numbers are 800, 736, 528, 580
The greatest common divisor of numbers 800, 736, 528, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 736, 528, 580 is 4.

1. What is the GCD of 800, 736, 528, 580?

GCD of given numbers 800, 736, 528, 580 is 4

2. How to calculate the greatest common divisor of 800, 736, 528, 580?

We can find the highest common divisor of 800, 736, 528, 580 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 800, 736, 528, 580 i.e 4.

3. How can I use the GCD of 800, 736, 528, 580Calculator?

Out the numbers 800, 736, 528, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.