GCD of 488, 404, 658, 480 Calculator

Given Input numbers are 488, 404, 658, 480

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (488, 404, 658, 480) = 2.

Given numbers are 488, 404, 658, 480

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 404 are 2 x 2 x 101

Prime factors of 658 are 2 x 7 x 47

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 488, 404, 658, 480 is 2.

Given numbers are 488, 404, 658, 480

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

Apply this formula for all numbers.

Step1:

LCM(488, 404) = 49288

GCD(488, 404) = ( 488 x 404 ) / 49288

= 488 / 404

= 488

Step2:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 488, 404, 658, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 274, 127, 208
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• GCD of 337, 592, 668, 115
• GCD of 187, 651, 345, 410

Given numbers are 488, 404, 658, 480
The greatest common divisor of numbers 488, 404, 658, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 404, 658, 480 is 2.

1. What is the GCD of 488, 404, 658, 480?

GCD of given numbers 488, 404, 658, 480 is 2

2. How to calculate the greatest common divisor of 488, 404, 658, 480?

We can find the highest common divisor of 488, 404, 658, 480 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 488, 404, 658, 480 i.e 2.

3. How can I use the GCD of 488, 404, 658, 480Calculator?

Out the numbers 488, 404, 658, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.