GCD of 172, 456, 488, 718 Calculator

Given Input numbers are 172, 456, 488, 718

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (172, 456, 488, 718) = 2.

Given numbers are 172, 456, 488, 718

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 172, 456, 488, 718 is 2.

Given numbers are 172, 456, 488, 718

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

Apply this formula for all numbers.

Step1:

LCM(172, 456) = 19608

GCD(172, 456) = ( 172 x 456 ) / 19608

= 172 / 456

= 172

Step2:

LCM(4, 488) = 488

GCD(4, 488) = ( 4 x 488 ) / 488

= 4 / 488

= 4

Step3:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

So, Greatest Common Divisor of 172, 456, 488, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 102, 898, 929
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Given numbers are 172, 456, 488, 718
The greatest common divisor of numbers 172, 456, 488, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 456, 488, 718 is 2.

1. What is the GCD of 172, 456, 488, 718?

GCD of given numbers 172, 456, 488, 718 is 2

2. How to calculate the greatest common divisor of 172, 456, 488, 718?

We can find the highest common divisor of 172, 456, 488, 718 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, 456, 488, 718 i.e 2.

3. How can I use the GCD of 172, 456, 488, 718Calculator?

Out the numbers 172, 456, 488, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.