GCD of 200, 450, 525 Calculator

Given Input numbers are 200, 450, 525

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 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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (200, 450, 525) = 25.

Given numbers are 200, 450, 525

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 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 5²

Therefore, GCD of 200, 450, 525 is 25.

Given numbers are 200, 450, 525

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

Apply this formula for all numbers.

Step1:

LCM(200, 450) = 1800

GCD(200, 450) = ( 200 x 450 ) / 1800

= 200 / 450

= 200

Step2:

LCM(50, 525) = 1050

GCD(50, 525) = ( 50 x 525 ) / 1050

= 50 / 525

= 50

So, Greatest Common Divisor of 200, 450, 525 is 25

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 162, 635
• GCD of 727, 472, 614
• GCD of 272, 419, 664
• GCD of 547, 909, 894
• GCD of 707, 993, 399

Given numbers are 200, 450, 525
The greatest common divisor of numbers 200, 450, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 450, 525 is 25.

1. What is the GCD of 200, 450, 525?

GCD of given numbers 200, 450, 525 is 25

2. How to calculate the greatest common divisor of 200, 450, 525?

We can find the highest common divisor of 200, 450, 525 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, 450, 525 i.e 25.

3. How can I use the GCD of 200, 450, 525Calculator?

Out the numbers 200, 450, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.