GCD of 404, 634, 490, 338 Calculator

Given Input numbers are 404, 634, 490, 338

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (404, 634, 490, 338) = 2.

Given numbers are 404, 634, 490, 338

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 634 are 2 x 317

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

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 404, 634, 490, 338 is 2.

Given numbers are 404, 634, 490, 338

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

Apply this formula for all numbers.

Step1:

LCM(404, 634) = 128068

GCD(404, 634) = ( 404 x 634 ) / 128068

= 404 / 634

= 404

Step2:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 404, 634, 490, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 511, 782, 557
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• GCD of 844, 241, 278, 587
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Given numbers are 404, 634, 490, 338
The greatest common divisor of numbers 404, 634, 490, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 634, 490, 338 is 2.

1. What is the GCD of 404, 634, 490, 338?

GCD of given numbers 404, 634, 490, 338 is 2

2. How to calculate the greatest common divisor of 404, 634, 490, 338?

We can find the highest common divisor of 404, 634, 490, 338 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 404, 634, 490, 338 i.e 2.

3. How can I use the GCD of 404, 634, 490, 338Calculator?

Out the numbers 404, 634, 490, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.