GCD of 466, 920, 795, 728 Calculator

Given Input numbers are 466, 920, 795, 728

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

Divisors of 466 :

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

1, 2, 233, 466

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (466, 920, 795, 728) = 1.

Given numbers are 466, 920, 795, 728

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 795 are 3 x 5 x 53

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 466, 920, 795, 728

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

Apply this formula for all numbers.

Step1:

LCM(466, 920) = 214360

GCD(466, 920) = ( 466 x 920 ) / 214360

= 466 / 920

= 466

Step2:

LCM(2, 795) = 1590

GCD(2, 795) = ( 2 x 795 ) / 1590

= 2 / 795

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 466, 920, 795, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 563, 642, 305
• GCD of 101, 400, 709, 606
• GCD of 951, 357, 609, 155
• GCD of 673, 557, 354, 608
• GCD of 497, 172, 213, 156

Given numbers are 466, 920, 795, 728
The greatest common divisor of numbers 466, 920, 795, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 920, 795, 728 is 1.

1. What is the GCD of 466, 920, 795, 728?

GCD of given numbers 466, 920, 795, 728 is 1

2. How to calculate the greatest common divisor of 466, 920, 795, 728?

We can find the highest common divisor of 466, 920, 795, 728 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 466, 920, 795, 728 i.e 1.

3. How can I use the GCD of 466, 920, 795, 728Calculator?

Out the numbers 466, 920, 795, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.