GCD of 351, 344, 990, 945 Calculator

Given Input numbers are 351, 344, 990, 945

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

Divisors of 351 :

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

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (351, 344, 990, 945) = 1.

Given numbers are 351, 344, 990, 945

The list of prime factors of all numbers are

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

Prime factors of 344 are 2 x 2 x 2 x 43

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 351, 344, 990, 945

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

Apply this formula for all numbers.

Step1:

LCM(351, 344) = 120744

GCD(351, 344) = ( 351 x 344 ) / 120744

= 351 / 344

= 351

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

So, Greatest Common Divisor of 351, 344, 990, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 802, 635, 691
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Given numbers are 351, 344, 990, 945
The greatest common divisor of numbers 351, 344, 990, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 344, 990, 945 is 1.

1. What is the GCD of 351, 344, 990, 945?

GCD of given numbers 351, 344, 990, 945 is 1

2. How to calculate the greatest common divisor of 351, 344, 990, 945?

We can find the highest common divisor of 351, 344, 990, 945 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 351, 344, 990, 945 i.e 1.

3. How can I use the GCD of 351, 344, 990, 945Calculator?

Out the numbers 351, 344, 990, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.