GCD of 462, 345, 753, 500 Calculator

Given Input numbers are 462, 345, 753, 500

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (462, 345, 753, 500) = 1.

Given numbers are 462, 345, 753, 500

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 345 are 3 x 5 x 23

Prime factors of 753 are 3 x 251

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Given numbers are 462, 345, 753, 500

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

Apply this formula for all numbers.

Step1:

LCM(462, 345) = 53130

GCD(462, 345) = ( 462 x 345 ) / 53130

= 462 / 345

= 462

Step2:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

Step3:

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

= 3 / 500

= 3

So, Greatest Common Divisor of 462, 345, 753, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 854, 677, 305
• GCD of 562, 458, 107, 171
• GCD of 757, 923, 897, 867
• GCD of 119, 362, 856, 466
• GCD of 943, 655, 451, 165

Given numbers are 462, 345, 753, 500
The greatest common divisor of numbers 462, 345, 753, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 345, 753, 500 is 1.

1. What is the GCD of 462, 345, 753, 500?

GCD of given numbers 462, 345, 753, 500 is 1

2. How to calculate the greatest common divisor of 462, 345, 753, 500?

We can find the highest common divisor of 462, 345, 753, 500 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 462, 345, 753, 500 i.e 1.

3. How can I use the GCD of 462, 345, 753, 500Calculator?

Out the numbers 462, 345, 753, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.