GCD of 208, 536, 694, 188 Calculator

Given Input numbers are 208, 536, 694, 188

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

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 (208, 536, 694, 188) = 2.

Given numbers are 208, 536, 694, 188

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 694 are 2 x 347

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 208, 536, 694, 188 is 2.

Given numbers are 208, 536, 694, 188

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

Apply this formula for all numbers.

Step1:

LCM(208, 536) = 13936

GCD(208, 536) = ( 208 x 536 ) / 13936

= 208 / 536

= 208

Step2:

LCM(8, 694) = 2776

GCD(8, 694) = ( 8 x 694 ) / 2776

= 8 / 694

= 8

Step3:

LCM(2, 188) = 188

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

= 2 / 188

= 2

So, Greatest Common Divisor of 208, 536, 694, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 517, 142, 134
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• GCD of 591, 237, 926, 138
• GCD of 803, 165, 541, 989
• GCD of 270, 387, 484, 489

Given numbers are 208, 536, 694, 188
The greatest common divisor of numbers 208, 536, 694, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 536, 694, 188 is 2.

1. What is the GCD of 208, 536, 694, 188?

GCD of given numbers 208, 536, 694, 188 is 2

2. How to calculate the greatest common divisor of 208, 536, 694, 188?

We can find the highest common divisor of 208, 536, 694, 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 208, 536, 694, 188 i.e 2.

3. How can I use the GCD of 208, 536, 694, 188Calculator?

Out the numbers 208, 536, 694, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.