GCD of 615, 672, 609, 450 Calculator

Given Input numbers are 615, 672, 609, 450

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

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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 (615, 672, 609, 450) = 3.

Given numbers are 615, 672, 609, 450

The list of prime factors of all numbers are

Prime factors of 615 are 3 x 5 x 41

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 609 are 3 x 7 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 615, 672, 609, 450 is 3.

Given numbers are 615, 672, 609, 450

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

Apply this formula for all numbers.

Step1:

LCM(615, 672) = 137760

GCD(615, 672) = ( 615 x 672 ) / 137760

= 615 / 672

= 615

Step2:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

Step3:

LCM(3, 450) = 450

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

= 3 / 450

= 3

So, Greatest Common Divisor of 615, 672, 609, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 397, 228, 799
• GCD of 779, 428, 139, 510
• GCD of 751, 503, 496, 764
• GCD of 248, 833, 871, 303
• GCD of 460, 393, 159, 174

Given numbers are 615, 672, 609, 450
The greatest common divisor of numbers 615, 672, 609, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 672, 609, 450 is 3.

1. What is the GCD of 615, 672, 609, 450?

GCD of given numbers 615, 672, 609, 450 is 3

2. How to calculate the greatest common divisor of 615, 672, 609, 450?

We can find the highest common divisor of 615, 672, 609, 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 615, 672, 609, 450 i.e 3.

3. How can I use the GCD of 615, 672, 609, 450Calculator?

Out the numbers 615, 672, 609, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.