GCD of 105, 324, 349, 477 Calculator

Given Input numbers are 105, 324, 349, 477

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 349 :

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

1, 349

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (105, 324, 349, 477) = 1.

Given numbers are 105, 324, 349, 477

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 349 are 349

Prime factors of 477 are 3 x 3 x 53

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

Given numbers are 105, 324, 349, 477

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

Apply this formula for all numbers.

Step1:

LCM(105, 324) = 11340

GCD(105, 324) = ( 105 x 324 ) / 11340

= 105 / 324

= 105

Step2:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3

Step3:

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

= 1 / 477

= 1

So, Greatest Common Divisor of 105, 324, 349, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 111, 727, 685
• GCD of 496, 169, 852, 868
• GCD of 964, 612, 444, 952
• GCD of 261, 558, 379, 643
• GCD of 452, 275, 546, 389

Given numbers are 105, 324, 349, 477
The greatest common divisor of numbers 105, 324, 349, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 324, 349, 477 is 1.

1. What is the GCD of 105, 324, 349, 477?

GCD of given numbers 105, 324, 349, 477 is 1

2. How to calculate the greatest common divisor of 105, 324, 349, 477?

We can find the highest common divisor of 105, 324, 349, 477 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 105, 324, 349, 477 i.e 1.

3. How can I use the GCD of 105, 324, 349, 477Calculator?

Out the numbers 105, 324, 349, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.