GCD of 450, 772, 364, 302 Calculator

Given Input numbers are 450, 772, 364, 302

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (450, 772, 364, 302) = 2.

Given numbers are 450, 772, 364, 302

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 772 are 2 x 2 x 193

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 450, 772, 364, 302 is 2.

Given numbers are 450, 772, 364, 302

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

Apply this formula for all numbers.

Step1:

LCM(450, 772) = 173700

GCD(450, 772) = ( 450 x 772 ) / 173700

= 450 / 772

= 450

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 450, 772, 364, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 183, 884, 857
• GCD of 499, 658, 652, 244
• GCD of 917, 363, 113, 898
• GCD of 424, 236, 541, 168
• GCD of 788, 738, 672, 227

Given numbers are 450, 772, 364, 302
The greatest common divisor of numbers 450, 772, 364, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 772, 364, 302 is 2.

1. What is the GCD of 450, 772, 364, 302?

GCD of given numbers 450, 772, 364, 302 is 2

2. How to calculate the greatest common divisor of 450, 772, 364, 302?

We can find the highest common divisor of 450, 772, 364, 302 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, 772, 364, 302 i.e 2.

3. How can I use the GCD of 450, 772, 364, 302Calculator?

Out the numbers 450, 772, 364, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.