GCD of 500, 457, 35, 724 Calculator

Given Input numbers are 500, 457, 35, 724

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

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 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (500, 457, 35, 724) = 1.

Given numbers are 500, 457, 35, 724

The list of prime factors of all numbers are

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

Prime factors of 457 are 457

Prime factors of 35 are 5 x 7

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 500, 457, 35, 724

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

Apply this formula for all numbers.

Step1:

LCM(500, 457) = 228500

GCD(500, 457) = ( 500 x 457 ) / 228500

= 500 / 457

= 500

Step2:

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

= 1 / 35

= 1

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 500, 457, 35, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 300, 91, 336
• GCD of 507, 941, 47, 632
• GCD of 614, 827, 43, 917
• GCD of 265, 954, 90, 514
• GCD of 298, 384, 29, 863

Given numbers are 500, 457, 35, 724
The greatest common divisor of numbers 500, 457, 35, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 457, 35, 724 is 1.

1. What is the GCD of 500, 457, 35, 724?

GCD of given numbers 500, 457, 35, 724 is 1

2. How to calculate the greatest common divisor of 500, 457, 35, 724?

We can find the highest common divisor of 500, 457, 35, 724 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 500, 457, 35, 724 i.e 1.

3. How can I use the GCD of 500, 457, 35, 724Calculator?

Out the numbers 500, 457, 35, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.