GCD of 184, 978, 350, 108 Calculator

Given Input numbers are 184, 978, 350, 108

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (184, 978, 350, 108) = 2.

Given numbers are 184, 978, 350, 108

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 978 are 2 x 3 x 163

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 184, 978, 350, 108 is 2.

Given numbers are 184, 978, 350, 108

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

Apply this formula for all numbers.

Step1:

LCM(184, 978) = 89976

GCD(184, 978) = ( 184 x 978 ) / 89976

= 184 / 978

= 184

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 184, 978, 350, 108 is 2

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Given numbers are 184, 978, 350, 108
The greatest common divisor of numbers 184, 978, 350, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 978, 350, 108 is 2.

1. What is the GCD of 184, 978, 350, 108?

GCD of given numbers 184, 978, 350, 108 is 2

2. How to calculate the greatest common divisor of 184, 978, 350, 108?

We can find the highest common divisor of 184, 978, 350, 108 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 184, 978, 350, 108 i.e 2.

3. How can I use the GCD of 184, 978, 350, 108Calculator?

Out the numbers 184, 978, 350, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.