GCD of 188, 100, 614, 508 Calculator

Given Input numbers are 188, 100, 614, 508

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (188, 100, 614, 508) = 2.

Given numbers are 188, 100, 614, 508

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 614 are 2 x 307

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 188, 100, 614, 508 is 2.

Given numbers are 188, 100, 614, 508

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

Apply this formula for all numbers.

Step1:

LCM(188, 100) = 4700

GCD(188, 100) = ( 188 x 100 ) / 4700

= 188 / 100

= 188

Step2:

LCM(4, 614) = 1228

GCD(4, 614) = ( 4 x 614 ) / 1228

= 4 / 614

= 4

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 188, 100, 614, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 727, 772, 427
• GCD of 805, 897, 249, 838
• GCD of 448, 502, 406, 774
• GCD of 400, 581, 799, 204
• GCD of 558, 398, 193, 212

Given numbers are 188, 100, 614, 508
The greatest common divisor of numbers 188, 100, 614, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 100, 614, 508 is 2.

1. What is the GCD of 188, 100, 614, 508?

GCD of given numbers 188, 100, 614, 508 is 2

2. How to calculate the greatest common divisor of 188, 100, 614, 508?

We can find the highest common divisor of 188, 100, 614, 508 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, 100, 614, 508 i.e 2.

3. How can I use the GCD of 188, 100, 614, 508Calculator?

Out the numbers 188, 100, 614, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.