GCD of 508, 886, 916, 172 Calculator

Given Input numbers are 508, 886, 916, 172

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

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 (508, 886, 916, 172) = 2.

Given numbers are 508, 886, 916, 172

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 886 are 2 x 443

Prime factors of 916 are 2 x 2 x 229

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 508, 886, 916, 172 is 2.

Given numbers are 508, 886, 916, 172

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

Apply this formula for all numbers.

Step1:

LCM(508, 886) = 225044

GCD(508, 886) = ( 508 x 886 ) / 225044

= 508 / 886

= 508

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 508, 886, 916, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 254, 689, 664
• GCD of 621, 496, 579, 670
• GCD of 720, 172, 521, 344
• GCD of 666, 914, 694, 764
• GCD of 549, 855, 605, 467

Given numbers are 508, 886, 916, 172
The greatest common divisor of numbers 508, 886, 916, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 886, 916, 172 is 2.

1. What is the GCD of 508, 886, 916, 172?

GCD of given numbers 508, 886, 916, 172 is 2

2. How to calculate the greatest common divisor of 508, 886, 916, 172?

We can find the highest common divisor of 508, 886, 916, 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 508, 886, 916, 172 i.e 2.

3. How can I use the GCD of 508, 886, 916, 172Calculator?

Out the numbers 508, 886, 916, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.