GCD of 424, 450, 452, 826 Calculator

Given Input numbers are 424, 450, 452, 826

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (424, 450, 452, 826) = 2.

Given numbers are 424, 450, 452, 826

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 452 are 2 x 2 x 113

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 424, 450, 452, 826 is 2.

Given numbers are 424, 450, 452, 826

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

Apply this formula for all numbers.

Step1:

LCM(424, 450) = 95400

GCD(424, 450) = ( 424 x 450 ) / 95400

= 424 / 450

= 424

Step2:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 424, 450, 452, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 271, 353, 683
• GCD of 698, 662, 122, 864
• GCD of 171, 450, 911, 565
• GCD of 604, 964, 949, 937
• GCD of 372, 128, 541, 262

Given numbers are 424, 450, 452, 826
The greatest common divisor of numbers 424, 450, 452, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 450, 452, 826 is 2.

1. What is the GCD of 424, 450, 452, 826?

GCD of given numbers 424, 450, 452, 826 is 2

2. How to calculate the greatest common divisor of 424, 450, 452, 826?

We can find the highest common divisor of 424, 450, 452, 826 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 424, 450, 452, 826 i.e 2.

3. How can I use the GCD of 424, 450, 452, 826Calculator?

Out the numbers 424, 450, 452, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.