GCD of 458, 472, 744, 200 Calculator

Given Input numbers are 458, 472, 744, 200

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

Divisors of 458 :

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

1, 2, 229, 458

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (458, 472, 744, 200) = 2.

Given numbers are 458, 472, 744, 200

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 458, 472, 744, 200 is 2.

Given numbers are 458, 472, 744, 200

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

Apply this formula for all numbers.

Step1:

LCM(458, 472) = 108088

GCD(458, 472) = ( 458 x 472 ) / 108088

= 458 / 472

= 458

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 458, 472, 744, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 835, 648, 387
• GCD of 912, 217, 833, 517
• GCD of 582, 152, 363, 691
• GCD of 230, 794, 506, 790
• GCD of 133, 170, 290, 528

Given numbers are 458, 472, 744, 200
The greatest common divisor of numbers 458, 472, 744, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 472, 744, 200 is 2.

1. What is the GCD of 458, 472, 744, 200?

GCD of given numbers 458, 472, 744, 200 is 2

2. How to calculate the greatest common divisor of 458, 472, 744, 200?

We can find the highest common divisor of 458, 472, 744, 200 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 458, 472, 744, 200 i.e 2.

3. How can I use the GCD of 458, 472, 744, 200Calculator?

Out the numbers 458, 472, 744, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.