GCD of 296, 808, 172, 168 Calculator

Given Input numbers are 296, 808, 172, 168

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 808 :

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

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (296, 808, 172, 168) = 4.

Given numbers are 296, 808, 172, 168

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 296, 808, 172, 168 is 4.

Given numbers are 296, 808, 172, 168

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

Apply this formula for all numbers.

Step1:

LCM(296, 808) = 29896

GCD(296, 808) = ( 296 x 808 ) / 29896

= 296 / 808

= 296

Step2:

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

= 8 / 172

= 8

Step3:

LCM(4, 168) = 168

GCD(4, 168) = ( 4 x 168 ) / 168

= 4 / 168

= 4

So, Greatest Common Divisor of 296, 808, 172, 168 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 231, 277, 720
• GCD of 641, 463, 679, 200
• GCD of 390, 234, 682, 557
• GCD of 987, 219, 731, 974
• GCD of 343, 879, 836, 630

Given numbers are 296, 808, 172, 168
The greatest common divisor of numbers 296, 808, 172, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 808, 172, 168 is 4.

1. What is the GCD of 296, 808, 172, 168?

GCD of given numbers 296, 808, 172, 168 is 4

2. How to calculate the greatest common divisor of 296, 808, 172, 168?

We can find the highest common divisor of 296, 808, 172, 168 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 296, 808, 172, 168 i.e 4.

3. How can I use the GCD of 296, 808, 172, 168Calculator?

Out the numbers 296, 808, 172, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.