GCD of 991, 791, 520, 109 Calculator

Given Input numbers are 991, 791, 520, 109

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 791 :

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

1, 7, 113, 791

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 (991, 791, 520, 109) = 1.

Given numbers are 991, 791, 520, 109

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 791 are 7 x 113

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 109 are 109

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

Given numbers are 991, 791, 520, 109

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

Apply this formula for all numbers.

Step1:

LCM(991, 791) = 783881

GCD(991, 791) = ( 991 x 791 ) / 783881

= 991 / 791

= 991

Step2:

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

= 1 / 520

= 1

Step3:

LCM(1, 109) = 109

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

= 1 / 109

= 1

So, Greatest Common Divisor of 991, 791, 520, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 874, 880, 987
• GCD of 839, 739, 806, 340
• GCD of 767, 832, 568, 300
• GCD of 465, 459, 441, 996
• GCD of 811, 455, 307, 600

Given numbers are 991, 791, 520, 109
The greatest common divisor of numbers 991, 791, 520, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 791, 520, 109 is 1.

1. What is the GCD of 991, 791, 520, 109?

GCD of given numbers 991, 791, 520, 109 is 1

2. How to calculate the greatest common divisor of 991, 791, 520, 109?

We can find the highest common divisor of 991, 791, 520, 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 991, 791, 520, 109 i.e 1.

3. How can I use the GCD of 991, 791, 520, 109Calculator?

Out the numbers 991, 791, 520, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.