GCD of 808, 300, 62, 172 Calculator

Given Input numbers are 808, 300, 62, 172

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 62 :

The positive integer divisors of 62 that completely divides 62 are.

1, 2, 31, 62

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 (808, 300, 62, 172) = 2.

Given numbers are 808, 300, 62, 172

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 62 are 2 x 31

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 808, 300, 62, 172 is 2.

Given numbers are 808, 300, 62, 172

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

Apply this formula for all numbers.

Step1:

LCM(808, 300) = 60600

GCD(808, 300) = ( 808 x 300 ) / 60600

= 808 / 300

= 808

Step2:

LCM(4, 62) = 124

GCD(4, 62) = ( 4 x 62 ) / 124

= 4 / 62

= 4

Step3:

LCM(2, 172) = 172

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

= 2 / 172

= 2

So, Greatest Common Divisor of 808, 300, 62, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 334, 68, 507
• GCD of 985, 911, 15, 286
• GCD of 316, 117, 92, 570
• GCD of 419, 724, 24, 987
• GCD of 403, 840, 45, 840

Given numbers are 808, 300, 62, 172
The greatest common divisor of numbers 808, 300, 62, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 300, 62, 172 is 2.

1. What is the GCD of 808, 300, 62, 172?

GCD of given numbers 808, 300, 62, 172 is 2

2. How to calculate the greatest common divisor of 808, 300, 62, 172?

We can find the highest common divisor of 808, 300, 62, 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 808, 300, 62, 172 i.e 2.

3. How can I use the GCD of 808, 300, 62, 172Calculator?

Out the numbers 808, 300, 62, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.