GCD of 990, 107, 351, 747 Calculator

Given Input numbers are 990, 107, 351, 747

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (990, 107, 351, 747) = 1.

Given numbers are 990, 107, 351, 747

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 107 are 107

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 990, 107, 351, 747

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

Apply this formula for all numbers.

Step1:

LCM(990, 107) = 105930

GCD(990, 107) = ( 990 x 107 ) / 105930

= 990 / 107

= 990

Step2:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1

Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

So, Greatest Common Divisor of 990, 107, 351, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 245, 794, 586
• GCD of 632, 347, 108, 412
• GCD of 122, 721, 131, 952
• GCD of 272, 467, 656, 730
• GCD of 107, 960, 709, 103

Given numbers are 990, 107, 351, 747
The greatest common divisor of numbers 990, 107, 351, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 107, 351, 747 is 1.

1. What is the GCD of 990, 107, 351, 747?

GCD of given numbers 990, 107, 351, 747 is 1

2. How to calculate the greatest common divisor of 990, 107, 351, 747?

We can find the highest common divisor of 990, 107, 351, 747 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 990, 107, 351, 747 i.e 1.

3. How can I use the GCD of 990, 107, 351, 747Calculator?

Out the numbers 990, 107, 351, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.