GCD of 363, 349, 774, 945 Calculator

Given Input numbers are 363, 349, 774, 945

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 (363, 349, 774, 945) = 1.

Given numbers are 363, 349, 774, 945

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 349 are 349

Prime factors of 774 are 2 x 3 x 3 x 43

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 363, 349, 774, 945

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

Apply this formula for all numbers.

Step1:

LCM(363, 349) = 126687

GCD(363, 349) = ( 363 x 349 ) / 126687

= 363 / 349

= 363

Step2:

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

= 1 / 774

= 1

Step3:

LCM(1, 945) = 945

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

= 1 / 945

= 1

So, Greatest Common Divisor of 363, 349, 774, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 619, 951, 412
• GCD of 391, 120, 920, 257
• GCD of 420, 718, 965, 213
• GCD of 246, 998, 348, 865
• GCD of 254, 467, 414, 894

Given numbers are 363, 349, 774, 945
The greatest common divisor of numbers 363, 349, 774, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 349, 774, 945 is 1.

1. What is the GCD of 363, 349, 774, 945?

GCD of given numbers 363, 349, 774, 945 is 1

2. How to calculate the greatest common divisor of 363, 349, 774, 945?

We can find the highest common divisor of 363, 349, 774, 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 363, 349, 774, 945 i.e 1.

3. How can I use the GCD of 363, 349, 774, 945Calculator?

Out the numbers 363, 349, 774, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.