GCD of 608, 164, 498 Calculator

Given Input numbers are 608, 164, 498

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (608, 164, 498) = 2.

Given numbers are 608, 164, 498

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 164 are 2 x 2 x 41

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 608, 164, 498 is 2.

Given numbers are 608, 164, 498

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

Apply this formula for all numbers.

Step1:

LCM(608, 164) = 24928

GCD(608, 164) = ( 608 x 164 ) / 24928

= 608 / 164

= 608

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

So, Greatest Common Divisor of 608, 164, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 659, 314
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Given numbers are 608, 164, 498
The greatest common divisor of numbers 608, 164, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 164, 498 is 2.

1. What is the GCD of 608, 164, 498?

GCD of given numbers 608, 164, 498 is 2

2. How to calculate the greatest common divisor of 608, 164, 498?

We can find the highest common divisor of 608, 164, 498 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 608, 164, 498 i.e 2.

3. How can I use the GCD of 608, 164, 498Calculator?

Out the numbers 608, 164, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.