GCD of 498, 544, 164, 404 Calculator

Given Input numbers are 498, 544, 164, 404

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

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 (498, 544, 164, 404) = 2.

Given numbers are 498, 544, 164, 404

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 164 are 2 x 2 x 41

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 498, 544, 164, 404 is 2.

Given numbers are 498, 544, 164, 404

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

Apply this formula for all numbers.

Step1:

LCM(498, 544) = 135456

GCD(498, 544) = ( 498 x 544 ) / 135456

= 498 / 544

= 498

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

Step3:

LCM(2, 404) = 404

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

= 2 / 404

= 2

So, Greatest Common Divisor of 498, 544, 164, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 897, 972, 621
• GCD of 300, 925, 767, 530
• GCD of 546, 815, 673, 796
• GCD of 454, 621, 887, 368
• GCD of 433, 936, 510, 820

Given numbers are 498, 544, 164, 404
The greatest common divisor of numbers 498, 544, 164, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 544, 164, 404 is 2.

1. What is the GCD of 498, 544, 164, 404?

GCD of given numbers 498, 544, 164, 404 is 2

2. How to calculate the greatest common divisor of 498, 544, 164, 404?

We can find the highest common divisor of 498, 544, 164, 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 498, 544, 164, 404 i.e 2.

3. How can I use the GCD of 498, 544, 164, 404Calculator?

Out the numbers 498, 544, 164, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.