GCD of 298, 488, 704, 904 Calculator

Given Input numbers are 298, 488, 704, 904

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 488 :

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (298, 488, 704, 904) = 2.

Given numbers are 298, 488, 704, 904

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 298, 488, 704, 904 is 2.

Given numbers are 298, 488, 704, 904

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

Apply this formula for all numbers.

Step1:

LCM(298, 488) = 72712

GCD(298, 488) = ( 298 x 488 ) / 72712

= 298 / 488

= 298

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2

So, Greatest Common Divisor of 298, 488, 704, 904 is 2

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Given numbers are 298, 488, 704, 904
The greatest common divisor of numbers 298, 488, 704, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 488, 704, 904 is 2.

1. What is the GCD of 298, 488, 704, 904?

GCD of given numbers 298, 488, 704, 904 is 2

2. How to calculate the greatest common divisor of 298, 488, 704, 904?

We can find the highest common divisor of 298, 488, 704, 904 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 298, 488, 704, 904 i.e 2.

3. How can I use the GCD of 298, 488, 704, 904Calculator?

Out the numbers 298, 488, 704, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.