GCD of 366, 450, 696, 160 Calculator

Given Input numbers are 366, 450, 696, 160

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (366, 450, 696, 160) = 2.

Given numbers are 366, 450, 696, 160

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 366, 450, 696, 160 is 2.

Given numbers are 366, 450, 696, 160

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

Apply this formula for all numbers.

Step1:

LCM(366, 450) = 27450

GCD(366, 450) = ( 366 x 450 ) / 27450

= 366 / 450

= 366

Step2:

LCM(6, 696) = 696

GCD(6, 696) = ( 6 x 696 ) / 696

= 6 / 696

= 6

Step3:

LCM(6, 160) = 480

GCD(6, 160) = ( 6 x 160 ) / 480

= 6 / 160

= 6

So, Greatest Common Divisor of 366, 450, 696, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 996, 999, 213
• GCD of 499, 385, 493, 381
• GCD of 713, 104, 275, 397
• GCD of 378, 640, 196, 348
• GCD of 160, 387, 547, 372

Given numbers are 366, 450, 696, 160
The greatest common divisor of numbers 366, 450, 696, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 450, 696, 160 is 2.

1. What is the GCD of 366, 450, 696, 160?

GCD of given numbers 366, 450, 696, 160 is 2

2. How to calculate the greatest common divisor of 366, 450, 696, 160?

We can find the highest common divisor of 366, 450, 696, 160 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 366, 450, 696, 160 i.e 2.

3. How can I use the GCD of 366, 450, 696, 160Calculator?

Out the numbers 366, 450, 696, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.