GCD of 208, 388, 746, 404 Calculator

Given Input numbers are 208, 388, 746, 404

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (208, 388, 746, 404) = 2.

Given numbers are 208, 388, 746, 404

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 388 are 2 x 2 x 97

Prime factors of 746 are 2 x 373

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 208, 388, 746, 404 is 2.

Given numbers are 208, 388, 746, 404

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

Apply this formula for all numbers.

Step1:

LCM(208, 388) = 20176

GCD(208, 388) = ( 208 x 388 ) / 20176

= 208 / 388

= 208

Step2:

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

= 4 / 746

= 4

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 208, 388, 746, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 354, 771, 567
• GCD of 528, 352, 759, 297
• GCD of 572, 636, 124, 364
• GCD of 657, 420, 563, 624
• GCD of 446, 782, 205, 878

Given numbers are 208, 388, 746, 404
The greatest common divisor of numbers 208, 388, 746, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 388, 746, 404 is 2.

1. What is the GCD of 208, 388, 746, 404?

GCD of given numbers 208, 388, 746, 404 is 2

2. How to calculate the greatest common divisor of 208, 388, 746, 404?

We can find the highest common divisor of 208, 388, 746, 404 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, 388, 746, 404 i.e 2.

3. How can I use the GCD of 208, 388, 746, 404Calculator?

Out the numbers 208, 388, 746, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.