GCD of 450, 375, 675 Calculator

Given Input numbers are 450, 375, 675

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

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (450, 375, 675) = 75.

Given numbers are 450, 375, 675

The list of prime factors of all numbers are

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹ x 5²

Therefore, GCD of 450, 375, 675 is 75.

Given numbers are 450, 375, 675

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

Apply this formula for all numbers.

Step1:

LCM(450, 375) = 2250

GCD(450, 375) = ( 450 x 375 ) / 2250

= 450 / 375

= 450

Step2:

LCM(75, 675) = 675

GCD(75, 675) = ( 75 x 675 ) / 675

= 75 / 675

= 75

So, Greatest Common Divisor of 450, 375, 675 is 75

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 705, 422
• GCD of 256, 303, 180
• GCD of 247, 198, 627
• GCD of 600, 176, 754
• GCD of 911, 279, 770

Given numbers are 450, 375, 675
The greatest common divisor of numbers 450, 375, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 375, 675 is 75.

1. What is the GCD of 450, 375, 675?

GCD of given numbers 450, 375, 675 is 75

2. How to calculate the greatest common divisor of 450, 375, 675?

We can find the highest common divisor of 450, 375, 675 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 450, 375, 675 i.e 75.

3. How can I use the GCD of 450, 375, 675Calculator?

Out the numbers 450, 375, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.