GCD of 488, 400, 128, 368 Calculator

Given Input numbers are 488, 400, 128, 368

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (488, 400, 128, 368) = 8.

Given numbers are 488, 400, 128, 368

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2³

Therefore, GCD of 488, 400, 128, 368 is 8.

Given numbers are 488, 400, 128, 368

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

Apply this formula for all numbers.

Step1:

LCM(488, 400) = 24400

GCD(488, 400) = ( 488 x 400 ) / 24400

= 488 / 400

= 488

Step2:

LCM(8, 128) = 128

GCD(8, 128) = ( 8 x 128 ) / 128

= 8 / 128

= 8

Step3:

LCM(8, 368) = 368

GCD(8, 368) = ( 8 x 368 ) / 368

= 8 / 368

= 8

So, Greatest Common Divisor of 488, 400, 128, 368 is 8

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Given numbers are 488, 400, 128, 368
The greatest common divisor of numbers 488, 400, 128, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 400, 128, 368 is 8.

1. What is the GCD of 488, 400, 128, 368?

GCD of given numbers 488, 400, 128, 368 is 8

2. How to calculate the greatest common divisor of 488, 400, 128, 368?

We can find the highest common divisor of 488, 400, 128, 368 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, 400, 128, 368 i.e 8.

3. How can I use the GCD of 488, 400, 128, 368Calculator?

Out the numbers 488, 400, 128, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.