GCD of 872, 242, 361, 211 Calculator

Given Input numbers are 872, 242, 361, 211

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

GCD of numbers is the greatest common divisor

So, the GCD (872, 242, 361, 211) = 1.

Given numbers are 872, 242, 361, 211

The list of prime factors of all numbers are

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 361 are 19 x 19

Prime factors of 211 are 211

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 872, 242, 361, 211

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

Apply this formula for all numbers.

Step1:

LCM(872, 242) = 105512

GCD(872, 242) = ( 872 x 242 ) / 105512

= 872 / 242

= 872

Step2:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

Step3:

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

= 1 / 211

= 1

So, Greatest Common Divisor of 872, 242, 361, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 699, 643, 916
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Given numbers are 872, 242, 361, 211
The greatest common divisor of numbers 872, 242, 361, 211 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 242, 361, 211 is 1.

1. What is the GCD of 872, 242, 361, 211?

GCD of given numbers 872, 242, 361, 211 is 1

2. How to calculate the greatest common divisor of 872, 242, 361, 211?

We can find the highest common divisor of 872, 242, 361, 211 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, 242, 361, 211 i.e 1.

3. How can I use the GCD of 872, 242, 361, 211Calculator?

Out the numbers 872, 242, 361, 211 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.