GCD of 688, 372, 84, 188 Calculator

Given Input numbers are 688, 372, 84, 188

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (688, 372, 84, 188) = 4.

Given numbers are 688, 372, 84, 188

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2²

Therefore, GCD of 688, 372, 84, 188 is 4.

Given numbers are 688, 372, 84, 188

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

Apply this formula for all numbers.

Step1:

LCM(688, 372) = 63984

GCD(688, 372) = ( 688 x 372 ) / 63984

= 688 / 372

= 688

Step2:

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

= 4 / 84

= 4

Step3:

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

= 4 / 188

= 4

So, Greatest Common Divisor of 688, 372, 84, 188 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 849, 41, 478
• GCD of 287, 611, 38, 726
• GCD of 690, 192, 41, 101
• GCD of 579, 660, 90, 209
• GCD of 586, 372, 53, 830

Given numbers are 688, 372, 84, 188
The greatest common divisor of numbers 688, 372, 84, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 372, 84, 188 is 4.

1. What is the GCD of 688, 372, 84, 188?

GCD of given numbers 688, 372, 84, 188 is 4

2. How to calculate the greatest common divisor of 688, 372, 84, 188?

We can find the highest common divisor of 688, 372, 84, 188 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 688, 372, 84, 188 i.e 4.

3. How can I use the GCD of 688, 372, 84, 188Calculator?

Out the numbers 688, 372, 84, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.