GCD of 688, 372, 198, 894 Calculator

Given Input numbers are 688, 372, 198, 894

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (688, 372, 198, 894) = 2.

Given numbers are 688, 372, 198, 894

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 198 are 2 x 3 x 3 x 11

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 2¹

Therefore, GCD of 688, 372, 198, 894 is 2.

Given numbers are 688, 372, 198, 894

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, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

Step3:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

So, Greatest Common Divisor of 688, 372, 198, 894 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 450, 416, 311
• GCD of 230, 767, 363, 378
• GCD of 240, 453, 693, 537
• GCD of 848, 895, 415, 950
• GCD of 345, 628, 591, 951

Given numbers are 688, 372, 198, 894
The greatest common divisor of numbers 688, 372, 198, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 372, 198, 894 is 2.

1. What is the GCD of 688, 372, 198, 894?

GCD of given numbers 688, 372, 198, 894 is 2

2. How to calculate the greatest common divisor of 688, 372, 198, 894?

We can find the highest common divisor of 688, 372, 198, 894 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, 198, 894 i.e 2.

3. How can I use the GCD of 688, 372, 198, 894Calculator?

Out the numbers 688, 372, 198, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.