GCD of 600, 500, 35, 458 Calculator

Given Input numbers are 600, 500, 35, 458

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 35 :

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

1, 5, 7, 35

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (600, 500, 35, 458) = 1.

Given numbers are 600, 500, 35, 458

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 35 are 5 x 7

Prime factors of 458 are 2 x 229

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

Given numbers are 600, 500, 35, 458

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

Apply this formula for all numbers.

Step1:

LCM(600, 500) = 3000

GCD(600, 500) = ( 600 x 500 ) / 3000

= 600 / 500

= 600

Step2:

LCM(100, 35) = 700

GCD(100, 35) = ( 100 x 35 ) / 700

= 100 / 35

= 100

Step3:

LCM(5, 458) = 2290

GCD(5, 458) = ( 5 x 458 ) / 2290

= 5 / 458

= 5

So, Greatest Common Divisor of 600, 500, 35, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 537, 13, 504
• GCD of 861, 238, 53, 853
• GCD of 301, 796, 62, 972
• GCD of 719, 175, 45, 459
• GCD of 518, 136, 32, 384

Given numbers are 600, 500, 35, 458
The greatest common divisor of numbers 600, 500, 35, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 500, 35, 458 is 1.

1. What is the GCD of 600, 500, 35, 458?

GCD of given numbers 600, 500, 35, 458 is 1

2. How to calculate the greatest common divisor of 600, 500, 35, 458?

We can find the highest common divisor of 600, 500, 35, 458 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 600, 500, 35, 458 i.e 1.

3. How can I use the GCD of 600, 500, 35, 458Calculator?

Out the numbers 600, 500, 35, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.