GCD of 104, 978, 500 Calculator

Given Input numbers are 104, 978, 500

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (104, 978, 500) = 2.

Given numbers are 104, 978, 500

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 104, 978, 500 is 2.

Given numbers are 104, 978, 500

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

Apply this formula for all numbers.

Step1:

LCM(104, 978) = 50856

GCD(104, 978) = ( 104 x 978 ) / 50856

= 104 / 978

= 104

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 104, 978, 500 is 2

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Given numbers are 104, 978, 500
The greatest common divisor of numbers 104, 978, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 978, 500 is 2.

1. What is the GCD of 104, 978, 500?

GCD of given numbers 104, 978, 500 is 2

2. How to calculate the greatest common divisor of 104, 978, 500?

We can find the highest common divisor of 104, 978, 500 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 104, 978, 500 i.e 2.

3. How can I use the GCD of 104, 978, 500Calculator?

Out the numbers 104, 978, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.