GCD of 468, 966, 350, 105 Calculator

Given Input numbers are 468, 966, 350, 105

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (468, 966, 350, 105) = 1.

Given numbers are 468, 966, 350, 105

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 468, 966, 350, 105

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

Apply this formula for all numbers.

Step1:

LCM(468, 966) = 75348

GCD(468, 966) = ( 468 x 966 ) / 75348

= 468 / 966

= 468

Step2:

LCM(6, 350) = 1050

GCD(6, 350) = ( 6 x 350 ) / 1050

= 6 / 350

= 6

Step3:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

So, Greatest Common Divisor of 468, 966, 350, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 926, 369, 288
• GCD of 900, 593, 432, 280
• GCD of 773, 968, 275, 487
• GCD of 282, 824, 535, 212
• GCD of 534, 333, 917, 484

Given numbers are 468, 966, 350, 105
The greatest common divisor of numbers 468, 966, 350, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 966, 350, 105 is 1.

1. What is the GCD of 468, 966, 350, 105?

GCD of given numbers 468, 966, 350, 105 is 1

2. How to calculate the greatest common divisor of 468, 966, 350, 105?

We can find the highest common divisor of 468, 966, 350, 105 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 468, 966, 350, 105 i.e 1.

3. How can I use the GCD of 468, 966, 350, 105Calculator?

Out the numbers 468, 966, 350, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.