GCD of 498, 252, 166, 896 Calculator

Given Input numbers are 498, 252, 166, 896

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (498, 252, 166, 896) = 2.

Given numbers are 498, 252, 166, 896

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 166 are 2 x 83

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 498, 252, 166, 896 is 2.

Given numbers are 498, 252, 166, 896

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

Apply this formula for all numbers.

Step1:

LCM(498, 252) = 20916

GCD(498, 252) = ( 498 x 252 ) / 20916

= 498 / 252

= 498

Step2:

LCM(6, 166) = 498

GCD(6, 166) = ( 6 x 166 ) / 498

= 6 / 166

= 6

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 498, 252, 166, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 258, 326, 604
• GCD of 903, 466, 675, 944
• GCD of 511, 313, 664, 366
• GCD of 554, 516, 632, 987
• GCD of 651, 984, 602, 352

Given numbers are 498, 252, 166, 896
The greatest common divisor of numbers 498, 252, 166, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 252, 166, 896 is 2.

1. What is the GCD of 498, 252, 166, 896?

GCD of given numbers 498, 252, 166, 896 is 2

2. How to calculate the greatest common divisor of 498, 252, 166, 896?

We can find the highest common divisor of 498, 252, 166, 896 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 498, 252, 166, 896 i.e 2.

3. How can I use the GCD of 498, 252, 166, 896Calculator?

Out the numbers 498, 252, 166, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.