GCD of 904, 516, 458, 650 Calculator

Given Input numbers are 904, 516, 458, 650

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 458 :

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

1, 2, 229, 458

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (904, 516, 458, 650) = 2.

Given numbers are 904, 516, 458, 650

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 458 are 2 x 229

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 904, 516, 458, 650 is 2.

Given numbers are 904, 516, 458, 650

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

Apply this formula for all numbers.

Step1:

LCM(904, 516) = 116616

GCD(904, 516) = ( 904 x 516 ) / 116616

= 904 / 516

= 904

Step2:

LCM(4, 458) = 916

GCD(4, 458) = ( 4 x 458 ) / 916

= 4 / 458

= 4

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 904, 516, 458, 650 is 2

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Given numbers are 904, 516, 458, 650
The greatest common divisor of numbers 904, 516, 458, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 516, 458, 650 is 2.

1. What is the GCD of 904, 516, 458, 650?

GCD of given numbers 904, 516, 458, 650 is 2

2. How to calculate the greatest common divisor of 904, 516, 458, 650?

We can find the highest common divisor of 904, 516, 458, 650 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 904, 516, 458, 650 i.e 2.

3. How can I use the GCD of 904, 516, 458, 650Calculator?

Out the numbers 904, 516, 458, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.