GCD of 872, 188, 898, 238 Calculator

Given Input numbers are 872, 188, 898, 238

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (872, 188, 898, 238) = 2.

Given numbers are 872, 188, 898, 238

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 188 are 2 x 2 x 47

Prime factors of 898 are 2 x 449

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 872, 188, 898, 238 is 2.

Given numbers are 872, 188, 898, 238

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

Apply this formula for all numbers.

Step1:

LCM(872, 188) = 40984

GCD(872, 188) = ( 872 x 188 ) / 40984

= 872 / 188

= 872

Step2:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 872, 188, 898, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 333, 679, 971
• GCD of 927, 927, 113, 594
• GCD of 840, 494, 521, 163
• GCD of 802, 475, 160, 687
• GCD of 349, 145, 492, 356

Given numbers are 872, 188, 898, 238
The greatest common divisor of numbers 872, 188, 898, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 188, 898, 238 is 2.

1. What is the GCD of 872, 188, 898, 238?

GCD of given numbers 872, 188, 898, 238 is 2

2. How to calculate the greatest common divisor of 872, 188, 898, 238?

We can find the highest common divisor of 872, 188, 898, 238 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 872, 188, 898, 238 i.e 2.

3. How can I use the GCD of 872, 188, 898, 238Calculator?

Out the numbers 872, 188, 898, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.