GCD of 450, 138, 504, 968 Calculator

Given Input numbers are 450, 138, 504, 968

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (450, 138, 504, 968) = 2.

Given numbers are 450, 138, 504, 968

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 138 are 2 x 3 x 23

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 450, 138, 504, 968 is 2.

Given numbers are 450, 138, 504, 968

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

Apply this formula for all numbers.

Step1:

LCM(450, 138) = 10350

GCD(450, 138) = ( 450 x 138 ) / 10350

= 450 / 138

= 450

Step2:

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

= 6 / 504

= 6

Step3:

LCM(6, 968) = 2904

GCD(6, 968) = ( 6 x 968 ) / 2904

= 6 / 968

= 6

So, Greatest Common Divisor of 450, 138, 504, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 119, 303, 663
• GCD of 336, 590, 240, 663
• GCD of 471, 954, 881, 215
• GCD of 627, 843, 989, 210
• GCD of 561, 806, 784, 216

Given numbers are 450, 138, 504, 968
The greatest common divisor of numbers 450, 138, 504, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 138, 504, 968 is 2.

1. What is the GCD of 450, 138, 504, 968?

GCD of given numbers 450, 138, 504, 968 is 2

2. How to calculate the greatest common divisor of 450, 138, 504, 968?

We can find the highest common divisor of 450, 138, 504, 968 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, 138, 504, 968 i.e 2.

3. How can I use the GCD of 450, 138, 504, 968Calculator?

Out the numbers 450, 138, 504, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.