GCD of 470, 626, 200, 450 Calculator

Given Input numbers are 470, 626, 200, 450

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

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

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 (470, 626, 200, 450) = 2.

Given numbers are 470, 626, 200, 450

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 626 are 2 x 313

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

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

The highest common occurrence is 2¹

Therefore, GCD of 470, 626, 200, 450 is 2.

Given numbers are 470, 626, 200, 450

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

Apply this formula for all numbers.

Step1:

LCM(470, 626) = 147110

GCD(470, 626) = ( 470 x 626 ) / 147110

= 470 / 626

= 470

Step2:

LCM(2, 200) = 200

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

= 2 / 200

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 470, 626, 200, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 772, 405, 603
• GCD of 219, 400, 662, 577
• GCD of 899, 394, 716, 939
• GCD of 200, 673, 644, 412
• GCD of 309, 817, 274, 501

Given numbers are 470, 626, 200, 450
The greatest common divisor of numbers 470, 626, 200, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 626, 200, 450 is 2.

1. What is the GCD of 470, 626, 200, 450?

GCD of given numbers 470, 626, 200, 450 is 2

2. How to calculate the greatest common divisor of 470, 626, 200, 450?

We can find the highest common divisor of 470, 626, 200, 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 470, 626, 200, 450 i.e 2.

3. How can I use the GCD of 470, 626, 200, 450Calculator?

Out the numbers 470, 626, 200, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.