GCD of 393, 500, 420, 746 Calculator

Given Input numbers are 393, 500, 420, 746

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (393, 500, 420, 746) = 1.

Given numbers are 393, 500, 420, 746

The list of prime factors of all numbers are

Prime factors of 393 are 3 x 131

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 746 are 2 x 373

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

Given numbers are 393, 500, 420, 746

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

Apply this formula for all numbers.

Step1:

LCM(393, 500) = 196500

GCD(393, 500) = ( 393 x 500 ) / 196500

= 393 / 500

= 393

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 393, 500, 420, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 689, 717, 531
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Given numbers are 393, 500, 420, 746
The greatest common divisor of numbers 393, 500, 420, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 500, 420, 746 is 1.

1. What is the GCD of 393, 500, 420, 746?

GCD of given numbers 393, 500, 420, 746 is 1

2. How to calculate the greatest common divisor of 393, 500, 420, 746?

We can find the highest common divisor of 393, 500, 420, 746 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 393, 500, 420, 746 i.e 1.

3. How can I use the GCD of 393, 500, 420, 746Calculator?

Out the numbers 393, 500, 420, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.