GCD of 720, 916, 576, 172 Calculator

Given Input numbers are 720, 916, 576, 172

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (720, 916, 576, 172) = 4.

Given numbers are 720, 916, 576, 172

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 916 are 2 x 2 x 229

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 720, 916, 576, 172 is 4.

Given numbers are 720, 916, 576, 172

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

Apply this formula for all numbers.

Step1:

LCM(720, 916) = 164880

GCD(720, 916) = ( 720 x 916 ) / 164880

= 720 / 916

= 720

Step2:

LCM(4, 576) = 576

GCD(4, 576) = ( 4 x 576 ) / 576

= 4 / 576

= 4

Step3:

LCM(4, 172) = 172

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

= 4 / 172

= 4

So, Greatest Common Divisor of 720, 916, 576, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 837, 141, 910
• GCD of 932, 117, 127, 634
• GCD of 941, 399, 646, 800
• GCD of 416, 611, 485, 530
• GCD of 388, 818, 660, 648

Given numbers are 720, 916, 576, 172
The greatest common divisor of numbers 720, 916, 576, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 916, 576, 172 is 4.

1. What is the GCD of 720, 916, 576, 172?

GCD of given numbers 720, 916, 576, 172 is 4

2. How to calculate the greatest common divisor of 720, 916, 576, 172?

We can find the highest common divisor of 720, 916, 576, 172 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 720, 916, 576, 172 i.e 4.

3. How can I use the GCD of 720, 916, 576, 172Calculator?

Out the numbers 720, 916, 576, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.