GCD of 872, 838, 271, 297 Calculator

Given Input numbers are 872, 838, 271, 297

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

GCD of numbers is the greatest common divisor

So, the GCD (872, 838, 271, 297) = 1.

Given numbers are 872, 838, 271, 297

The list of prime factors of all numbers are

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

Prime factors of 838 are 2 x 419

Prime factors of 271 are 271

Prime factors of 297 are 3 x 3 x 3 x 11

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

Given numbers are 872, 838, 271, 297

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

Apply this formula for all numbers.

Step1:

LCM(872, 838) = 365368

GCD(872, 838) = ( 872 x 838 ) / 365368

= 872 / 838

= 872

Step2:

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

= 2 / 271

= 2

Step3:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1

So, Greatest Common Divisor of 872, 838, 271, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 103, 344, 979
• GCD of 723, 983, 818, 731
• GCD of 327, 167, 127, 659
• GCD of 106, 298, 481, 530
• GCD of 153, 154, 437, 982

Given numbers are 872, 838, 271, 297
The greatest common divisor of numbers 872, 838, 271, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 838, 271, 297 is 1.

1. What is the GCD of 872, 838, 271, 297?

GCD of given numbers 872, 838, 271, 297 is 1

2. How to calculate the greatest common divisor of 872, 838, 271, 297?

We can find the highest common divisor of 872, 838, 271, 297 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, 838, 271, 297 i.e 1.

3. How can I use the GCD of 872, 838, 271, 297Calculator?

Out the numbers 872, 838, 271, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.