GCD of 572, 928, 172, 800 Calculator

Given Input numbers are 572, 928, 172, 800

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

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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

GCD of numbers is the greatest common divisor

So, the GCD (572, 928, 172, 800) = 4.

Given numbers are 572, 928, 172, 800

The list of prime factors of all numbers are

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 172 are 2 x 2 x 43

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

The highest common occurrence is 2²

Therefore, GCD of 572, 928, 172, 800 is 4.

Given numbers are 572, 928, 172, 800

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

Apply this formula for all numbers.

Step1:

LCM(572, 928) = 132704

GCD(572, 928) = ( 572 x 928 ) / 132704

= 572 / 928

= 572

Step2:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 572, 928, 172, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 208, 439, 199
• GCD of 294, 672, 646, 161
• GCD of 461, 303, 766, 856
• GCD of 946, 354, 460, 635
• GCD of 231, 945, 810, 801

Given numbers are 572, 928, 172, 800
The greatest common divisor of numbers 572, 928, 172, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 928, 172, 800 is 4.

1. What is the GCD of 572, 928, 172, 800?

GCD of given numbers 572, 928, 172, 800 is 4

2. How to calculate the greatest common divisor of 572, 928, 172, 800?

We can find the highest common divisor of 572, 928, 172, 800 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 572, 928, 172, 800 i.e 4.

3. How can I use the GCD of 572, 928, 172, 800Calculator?

Out the numbers 572, 928, 172, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.