GCD of 172, 800, 464, 536 Calculator

Given Input numbers are 172, 800, 464, 536

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

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (172, 800, 464, 536) = 4.

Given numbers are 172, 800, 464, 536

The list of prime factors of all numbers are

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 536 are 2 x 2 x 2 x 67

The highest common occurrence is 2²

Therefore, GCD of 172, 800, 464, 536 is 4.

Given numbers are 172, 800, 464, 536

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

Apply this formula for all numbers.

Step1:

LCM(172, 800) = 34400

GCD(172, 800) = ( 172 x 800 ) / 34400

= 172 / 800

= 172

Step2:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

Step3:

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

= 4 / 536

= 4

So, Greatest Common Divisor of 172, 800, 464, 536 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 901, 362, 293
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• GCD of 657, 625, 160, 439
• GCD of 771, 720, 479, 231

Given numbers are 172, 800, 464, 536
The greatest common divisor of numbers 172, 800, 464, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 800, 464, 536 is 4.

1. What is the GCD of 172, 800, 464, 536?

GCD of given numbers 172, 800, 464, 536 is 4

2. How to calculate the greatest common divisor of 172, 800, 464, 536?

We can find the highest common divisor of 172, 800, 464, 536 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 172, 800, 464, 536 i.e 4.

3. How can I use the GCD of 172, 800, 464, 536Calculator?

Out the numbers 172, 800, 464, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.