GCD of 426, 522, 345, 450 Calculator

Given Input numbers are 426, 522, 345, 450

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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

GCD of numbers is the greatest common divisor

So, the GCD (426, 522, 345, 450) = 3.

Given numbers are 426, 522, 345, 450

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 345 are 3 x 5 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 426, 522, 345, 450 is 3.

Given numbers are 426, 522, 345, 450

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

Apply this formula for all numbers.

Step1:

LCM(426, 522) = 37062

GCD(426, 522) = ( 426 x 522 ) / 37062

= 426 / 522

= 426

Step2:

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

= 6 / 345

= 6

Step3:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

So, Greatest Common Divisor of 426, 522, 345, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 120, 641, 276
• GCD of 466, 604, 794, 618
• GCD of 946, 183, 189, 245
• GCD of 239, 300, 934, 112
• GCD of 577, 407, 306, 736

Given numbers are 426, 522, 345, 450
The greatest common divisor of numbers 426, 522, 345, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 522, 345, 450 is 3.

1. What is the GCD of 426, 522, 345, 450?

GCD of given numbers 426, 522, 345, 450 is 3

2. How to calculate the greatest common divisor of 426, 522, 345, 450?

We can find the highest common divisor of 426, 522, 345, 450 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 426, 522, 345, 450 i.e 3.

3. How can I use the GCD of 426, 522, 345, 450Calculator?

Out the numbers 426, 522, 345, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.