GCD of 108, 735, 364, 466 Calculator

Given Input numbers are 108, 735, 364, 466

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (108, 735, 364, 466) = 1.

Given numbers are 108, 735, 364, 466

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 466 are 2 x 233

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

Given numbers are 108, 735, 364, 466

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

Apply this formula for all numbers.

Step1:

LCM(108, 735) = 26460

GCD(108, 735) = ( 108 x 735 ) / 26460

= 108 / 735

= 108

Step2:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

Step3:

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

= 1 / 466

= 1

So, Greatest Common Divisor of 108, 735, 364, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 767, 309, 607
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Given numbers are 108, 735, 364, 466
The greatest common divisor of numbers 108, 735, 364, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 735, 364, 466 is 1.

1. What is the GCD of 108, 735, 364, 466?

GCD of given numbers 108, 735, 364, 466 is 1

2. How to calculate the greatest common divisor of 108, 735, 364, 466?

We can find the highest common divisor of 108, 735, 364, 466 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 108, 735, 364, 466 i.e 1.

3. How can I use the GCD of 108, 735, 364, 466Calculator?

Out the numbers 108, 735, 364, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.