GCD of 888, 172, 208, 490 Calculator

Given Input numbers are 888, 172, 208, 490

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (888, 172, 208, 490) = 2.

Given numbers are 888, 172, 208, 490

The list of prime factors of all numbers are

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 172 are 2 x 2 x 43

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

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 888, 172, 208, 490 is 2.

Given numbers are 888, 172, 208, 490

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

Apply this formula for all numbers.

Step1:

LCM(888, 172) = 38184

GCD(888, 172) = ( 888 x 172 ) / 38184

= 888 / 172

= 888

Step2:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4

Step3:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

So, Greatest Common Divisor of 888, 172, 208, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 192, 114, 351
• GCD of 707, 309, 478, 232
• GCD of 948, 344, 418, 759
• GCD of 568, 526, 337, 439
• GCD of 912, 706, 255, 137

Given numbers are 888, 172, 208, 490
The greatest common divisor of numbers 888, 172, 208, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 172, 208, 490 is 2.

1. What is the GCD of 888, 172, 208, 490?

GCD of given numbers 888, 172, 208, 490 is 2

2. How to calculate the greatest common divisor of 888, 172, 208, 490?

We can find the highest common divisor of 888, 172, 208, 490 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 888, 172, 208, 490 i.e 2.

3. How can I use the GCD of 888, 172, 208, 490Calculator?

Out the numbers 888, 172, 208, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.