GCD of 271, 998, 791, 109 Calculator

Given Input numbers are 271, 998, 791, 109

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

Divisors of 271 :

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

1, 271

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (271, 998, 791, 109) = 1.

Given numbers are 271, 998, 791, 109

The list of prime factors of all numbers are

Prime factors of 271 are 271

Prime factors of 998 are 2 x 499

Prime factors of 791 are 7 x 113

Prime factors of 109 are 109

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

Given numbers are 271, 998, 791, 109

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

Apply this formula for all numbers.

Step1:

LCM(271, 998) = 270458

GCD(271, 998) = ( 271 x 998 ) / 270458

= 271 / 998

= 271

Step2:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 271, 998, 791, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 819, 249, 167
• GCD of 358, 199, 412, 888
• GCD of 553, 479, 306, 916
• GCD of 912, 800, 986, 753
• GCD of 876, 312, 559, 393

Given numbers are 271, 998, 791, 109
The greatest common divisor of numbers 271, 998, 791, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 998, 791, 109 is 1.

1. What is the GCD of 271, 998, 791, 109?

GCD of given numbers 271, 998, 791, 109 is 1

2. How to calculate the greatest common divisor of 271, 998, 791, 109?

We can find the highest common divisor of 271, 998, 791, 109 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 271, 998, 791, 109 i.e 1.

3. How can I use the GCD of 271, 998, 791, 109Calculator?

Out the numbers 271, 998, 791, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.