GCD of 690, 686, 638, 188 Calculator

Given Input numbers are 690, 686, 638, 188

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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 (690, 686, 638, 188) = 2.

Given numbers are 690, 686, 638, 188

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 638 are 2 x 11 x 29

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 690, 686, 638, 188 is 2.

Given numbers are 690, 686, 638, 188

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

Apply this formula for all numbers.

Step1:

LCM(690, 686) = 236670

GCD(690, 686) = ( 690 x 686 ) / 236670

= 690 / 686

= 690

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 690, 686, 638, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 409, 193, 466
• GCD of 763, 372, 117, 341
• GCD of 476, 334, 960, 760
• GCD of 693, 829, 233, 816
• GCD of 921, 958, 913, 890

Given numbers are 690, 686, 638, 188
The greatest common divisor of numbers 690, 686, 638, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 686, 638, 188 is 2.

1. What is the GCD of 690, 686, 638, 188?

GCD of given numbers 690, 686, 638, 188 is 2

2. How to calculate the greatest common divisor of 690, 686, 638, 188?

We can find the highest common divisor of 690, 686, 638, 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 690, 686, 638, 188 i.e 2.

3. How can I use the GCD of 690, 686, 638, 188Calculator?

Out the numbers 690, 686, 638, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.