GCD of 208, 370, 450, 904 Calculator

Given Input numbers are 208, 370, 450, 904

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (208, 370, 450, 904) = 2.

Given numbers are 208, 370, 450, 904

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 370 are 2 x 5 x 37

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 208, 370, 450, 904 is 2.

Given numbers are 208, 370, 450, 904

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

Apply this formula for all numbers.

Step1:

LCM(208, 370) = 38480

GCD(208, 370) = ( 208 x 370 ) / 38480

= 208 / 370

= 208

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2

So, Greatest Common Divisor of 208, 370, 450, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 717, 372, 744
• GCD of 696, 204, 235, 512
• GCD of 569, 193, 874, 974
• GCD of 140, 870, 997, 444
• GCD of 416, 239, 993, 503

Given numbers are 208, 370, 450, 904
The greatest common divisor of numbers 208, 370, 450, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 370, 450, 904 is 2.

1. What is the GCD of 208, 370, 450, 904?

GCD of given numbers 208, 370, 450, 904 is 2

2. How to calculate the greatest common divisor of 208, 370, 450, 904?

We can find the highest common divisor of 208, 370, 450, 904 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, 370, 450, 904 i.e 2.

3. How can I use the GCD of 208, 370, 450, 904Calculator?

Out the numbers 208, 370, 450, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.