GCD of 200, 150, 490, 628 Calculator

Given Input numbers are 200, 150, 490, 628

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

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (200, 150, 490, 628) = 2.

Given numbers are 200, 150, 490, 628

The list of prime factors of all numbers are

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 200, 150, 490, 628 is 2.

Given numbers are 200, 150, 490, 628

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

Apply this formula for all numbers.

Step1:

LCM(200, 150) = 600

GCD(200, 150) = ( 200 x 150 ) / 600

= 200 / 150

= 200

Step2:

LCM(50, 490) = 2450

GCD(50, 490) = ( 50 x 490 ) / 2450

= 50 / 490

= 50

Step3:

LCM(10, 628) = 3140

GCD(10, 628) = ( 10 x 628 ) / 3140

= 10 / 628

= 10

So, Greatest Common Divisor of 200, 150, 490, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 221, 476, 731
• GCD of 753, 330, 124, 273
• GCD of 282, 800, 409, 610
• GCD of 885, 956, 325, 573
• GCD of 258, 484, 449, 729

Given numbers are 200, 150, 490, 628
The greatest common divisor of numbers 200, 150, 490, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 150, 490, 628 is 2.

1. What is the GCD of 200, 150, 490, 628?

GCD of given numbers 200, 150, 490, 628 is 2

2. How to calculate the greatest common divisor of 200, 150, 490, 628?

We can find the highest common divisor of 200, 150, 490, 628 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 200, 150, 490, 628 i.e 2.

3. How can I use the GCD of 200, 150, 490, 628Calculator?

Out the numbers 200, 150, 490, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.