GCD of 188, 380, 144, 917 Calculator

Given Input numbers are 188, 380, 144, 917

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

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (188, 380, 144, 917) = 1.

Given numbers are 188, 380, 144, 917

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 917 are 7 x 131

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 188, 380, 144, 917

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

Apply this formula for all numbers.

Step1:

LCM(188, 380) = 17860

GCD(188, 380) = ( 188 x 380 ) / 17860

= 188 / 380

= 188

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

= 4 / 917

= 4

So, Greatest Common Divisor of 188, 380, 144, 917 is 1

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Given numbers are 188, 380, 144, 917
The greatest common divisor of numbers 188, 380, 144, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 380, 144, 917 is 1.

1. What is the GCD of 188, 380, 144, 917?

GCD of given numbers 188, 380, 144, 917 is 1

2. How to calculate the greatest common divisor of 188, 380, 144, 917?

We can find the highest common divisor of 188, 380, 144, 917 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 188, 380, 144, 917 i.e 1.

3. How can I use the GCD of 188, 380, 144, 917Calculator?

Out the numbers 188, 380, 144, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.