GCD of 120, 176, 190, 618 Calculator

Given Input numbers are 120, 176, 190, 618

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (120, 176, 190, 618) = 2.

Given numbers are 120, 176, 190, 618

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 190 are 2 x 5 x 19

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹

Therefore, GCD of 120, 176, 190, 618 is 2.

Given numbers are 120, 176, 190, 618

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

Apply this formula for all numbers.

Step1:

LCM(120, 176) = 2640

GCD(120, 176) = ( 120 x 176 ) / 2640

= 120 / 176

= 120

Step2:

LCM(8, 190) = 760

GCD(8, 190) = ( 8 x 190 ) / 760

= 8 / 190

= 8

Step3:

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

= 2 / 618

= 2

So, Greatest Common Divisor of 120, 176, 190, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 171, 744, 541
• GCD of 342, 325, 194, 753
• GCD of 934, 293, 722, 224
• GCD of 907, 781, 505, 127
• GCD of 819, 671, 550, 635

Given numbers are 120, 176, 190, 618
The greatest common divisor of numbers 120, 176, 190, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 176, 190, 618 is 2.

1. What is the GCD of 120, 176, 190, 618?

GCD of given numbers 120, 176, 190, 618 is 2

2. How to calculate the greatest common divisor of 120, 176, 190, 618?

We can find the highest common divisor of 120, 176, 190, 618 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 120, 176, 190, 618 i.e 2.

3. How can I use the GCD of 120, 176, 190, 618Calculator?

Out the numbers 120, 176, 190, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.