GCD of 104, 978, 196 Calculator

Given Input numbers are 104, 978, 196

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (104, 978, 196) = 2.

Given numbers are 104, 978, 196

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 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 104, 978, 196 is 2.

Given numbers are 104, 978, 196

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, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 104, 978, 196 is 2

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Given numbers are 104, 978, 196
The greatest common divisor of numbers 104, 978, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 978, 196 is 2.

1. What is the GCD of 104, 978, 196?

GCD of given numbers 104, 978, 196 is 2

2. How to calculate the greatest common divisor of 104, 978, 196?

We can find the highest common divisor of 104, 978, 196 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, 196 i.e 2.

3. How can I use the GCD of 104, 978, 196Calculator?

Out the numbers 104, 978, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.