GCD of 450, 480, 301, 159 Calculator

Given Input numbers are 450, 480, 301, 159

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (450, 480, 301, 159) = 1.

Given numbers are 450, 480, 301, 159

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 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 301 are 7 x 43

Prime factors of 159 are 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 450, 480, 301, 159

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

Apply this formula for all numbers.

Step1:

LCM(450, 480) = 7200

GCD(450, 480) = ( 450 x 480 ) / 7200

= 450 / 480

= 450

Step2:

LCM(30, 301) = 9030

GCD(30, 301) = ( 30 x 301 ) / 9030

= 30 / 301

= 30

Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1

So, Greatest Common Divisor of 450, 480, 301, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 778, 452, 796
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• GCD of 757, 873, 340, 515
• GCD of 650, 677, 465, 167
• GCD of 968, 458, 711, 948

Given numbers are 450, 480, 301, 159
The greatest common divisor of numbers 450, 480, 301, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 480, 301, 159 is 1.

1. What is the GCD of 450, 480, 301, 159?

GCD of given numbers 450, 480, 301, 159 is 1

2. How to calculate the greatest common divisor of 450, 480, 301, 159?

We can find the highest common divisor of 450, 480, 301, 159 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, 480, 301, 159 i.e 1.

3. How can I use the GCD of 450, 480, 301, 159Calculator?

Out the numbers 450, 480, 301, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.