GCD of 460, 500, 743, 604 Calculator

Given Input numbers are 460, 500, 743, 604

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (460, 500, 743, 604) = 1.

Given numbers are 460, 500, 743, 604

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

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

Prime factors of 743 are 743

Prime factors of 604 are 2 x 2 x 151

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

Given numbers are 460, 500, 743, 604

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

Apply this formula for all numbers.

Step1:

LCM(460, 500) = 11500

GCD(460, 500) = ( 460 x 500 ) / 11500

= 460 / 500

= 460

Step2:

LCM(20, 743) = 14860

GCD(20, 743) = ( 20 x 743 ) / 14860

= 20 / 743

= 20

Step3:

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

= 1 / 604

= 1

So, Greatest Common Divisor of 460, 500, 743, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 617, 616, 327
• GCD of 140, 543, 641, 818
• GCD of 204, 229, 145, 650
• GCD of 749, 396, 329, 245
• GCD of 225, 905, 227, 197

Given numbers are 460, 500, 743, 604
The greatest common divisor of numbers 460, 500, 743, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 500, 743, 604 is 1.

1. What is the GCD of 460, 500, 743, 604?

GCD of given numbers 460, 500, 743, 604 is 1

2. How to calculate the greatest common divisor of 460, 500, 743, 604?

We can find the highest common divisor of 460, 500, 743, 604 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 460, 500, 743, 604 i.e 1.

3. How can I use the GCD of 460, 500, 743, 604Calculator?

Out the numbers 460, 500, 743, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.