GCD of 612, 450, 160, 378 Calculator

Given Input numbers are 612, 450, 160, 378

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 160 :

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (612, 450, 160, 378) = 2.

Given numbers are 612, 450, 160, 378

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 612, 450, 160, 378 is 2.

Given numbers are 612, 450, 160, 378

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

Apply this formula for all numbers.

Step1:

LCM(612, 450) = 15300

GCD(612, 450) = ( 612 x 450 ) / 15300

= 612 / 450

= 612

Step2:

LCM(18, 160) = 1440

GCD(18, 160) = ( 18 x 160 ) / 1440

= 18 / 160

= 18

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 612, 450, 160, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 491, 647, 883
• GCD of 636, 200, 462, 679
• GCD of 987, 765, 777, 657
• GCD of 205, 140, 817, 329
• GCD of 797, 899, 395, 672

Given numbers are 612, 450, 160, 378
The greatest common divisor of numbers 612, 450, 160, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 450, 160, 378 is 2.

1. What is the GCD of 612, 450, 160, 378?

GCD of given numbers 612, 450, 160, 378 is 2

2. How to calculate the greatest common divisor of 612, 450, 160, 378?

We can find the highest common divisor of 612, 450, 160, 378 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 612, 450, 160, 378 i.e 2.

3. How can I use the GCD of 612, 450, 160, 378Calculator?

Out the numbers 612, 450, 160, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.