GCD of 214, 268, 188, 675 Calculator

Given Input numbers are 214, 268, 188, 675

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (214, 268, 188, 675) = 1.

Given numbers are 214, 268, 188, 675

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 268 are 2 x 2 x 67

Prime factors of 188 are 2 x 2 x 47

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 214, 268, 188, 675

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

Apply this formula for all numbers.

Step1:

LCM(214, 268) = 28676

GCD(214, 268) = ( 214 x 268 ) / 28676

= 214 / 268

= 214

Step2:

LCM(2, 188) = 188

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

= 2 / 188

= 2

Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2

So, Greatest Common Divisor of 214, 268, 188, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 291, 737, 975
• GCD of 171, 799, 658, 849
• GCD of 692, 403, 550, 607
• GCD of 399, 298, 552, 689
• GCD of 466, 817, 798, 876

Given numbers are 214, 268, 188, 675
The greatest common divisor of numbers 214, 268, 188, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 268, 188, 675 is 1.

1. What is the GCD of 214, 268, 188, 675?

GCD of given numbers 214, 268, 188, 675 is 1

2. How to calculate the greatest common divisor of 214, 268, 188, 675?

We can find the highest common divisor of 214, 268, 188, 675 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 214, 268, 188, 675 i.e 1.

3. How can I use the GCD of 214, 268, 188, 675Calculator?

Out the numbers 214, 268, 188, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.