GCD of 118, 450, 170, 384 Calculator

Given Input numbers are 118, 450, 170, 384

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (118, 450, 170, 384) = 2.

Given numbers are 118, 450, 170, 384

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

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

Prime factors of 170 are 2 x 5 x 17

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 118, 450, 170, 384 is 2.

Given numbers are 118, 450, 170, 384

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

Apply this formula for all numbers.

Step1:

LCM(118, 450) = 26550

GCD(118, 450) = ( 118 x 450 ) / 26550

= 118 / 450

= 118

Step2:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 118, 450, 170, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 838, 777, 140
• GCD of 918, 271, 755, 891
• GCD of 569, 394, 642, 997
• GCD of 460, 766, 242, 116
• GCD of 846, 445, 143, 778

Given numbers are 118, 450, 170, 384
The greatest common divisor of numbers 118, 450, 170, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 450, 170, 384 is 2.

1. What is the GCD of 118, 450, 170, 384?

GCD of given numbers 118, 450, 170, 384 is 2

2. How to calculate the greatest common divisor of 118, 450, 170, 384?

We can find the highest common divisor of 118, 450, 170, 384 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 118, 450, 170, 384 i.e 2.

3. How can I use the GCD of 118, 450, 170, 384Calculator?

Out the numbers 118, 450, 170, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.