GCD of 188, 220, 345, 600 Calculator

Given Input numbers are 188, 220, 345, 600

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (188, 220, 345, 600) = 1.

Given numbers are 188, 220, 345, 600

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 345 are 3 x 5 x 23

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 188, 220, 345, 600

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

Apply this formula for all numbers.

Step1:

LCM(188, 220) = 10340

GCD(188, 220) = ( 188 x 220 ) / 10340

= 188 / 220

= 188

Step2:

LCM(4, 345) = 1380

GCD(4, 345) = ( 4 x 345 ) / 1380

= 4 / 345

= 4

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 188, 220, 345, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 191, 345, 643
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• GCD of 594, 492, 270, 342
• GCD of 370, 555, 178, 879
• GCD of 944, 967, 871, 268

Given numbers are 188, 220, 345, 600
The greatest common divisor of numbers 188, 220, 345, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 220, 345, 600 is 1.

1. What is the GCD of 188, 220, 345, 600?

GCD of given numbers 188, 220, 345, 600 is 1

2. How to calculate the greatest common divisor of 188, 220, 345, 600?

We can find the highest common divisor of 188, 220, 345, 600 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, 220, 345, 600 i.e 1.

3. How can I use the GCD of 188, 220, 345, 600Calculator?

Out the numbers 188, 220, 345, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.