GCD of 450, 338, 960, 722 Calculator

Given Input numbers are 450, 338, 960, 722

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (450, 338, 960, 722) = 2.

Given numbers are 450, 338, 960, 722

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 338 are 2 x 13 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 450, 338, 960, 722 is 2.

Given numbers are 450, 338, 960, 722

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

Apply this formula for all numbers.

Step1:

LCM(450, 338) = 76050

GCD(450, 338) = ( 450 x 338 ) / 76050

= 450 / 338

= 450

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 450, 338, 960, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 820, 296, 954
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• GCD of 615, 832, 815, 832

Given numbers are 450, 338, 960, 722
The greatest common divisor of numbers 450, 338, 960, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 338, 960, 722 is 2.

1. What is the GCD of 450, 338, 960, 722?

GCD of given numbers 450, 338, 960, 722 is 2

2. How to calculate the greatest common divisor of 450, 338, 960, 722?

We can find the highest common divisor of 450, 338, 960, 722 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, 338, 960, 722 i.e 2.

3. How can I use the GCD of 450, 338, 960, 722Calculator?

Out the numbers 450, 338, 960, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.