GCD of 108, 505, 978 Calculator

Given Input numbers are 108, 505, 978

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (108, 505, 978) = 1.

Given numbers are 108, 505, 978

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 505 are 5 x 101

Prime factors of 978 are 2 x 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 505, 978

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

Apply this formula for all numbers.

Step1:

LCM(108, 505) = 54540

GCD(108, 505) = ( 108 x 505 ) / 54540

= 108 / 505

= 108

Step2:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 108, 505, 978 is 1

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Given numbers are 108, 505, 978
The greatest common divisor of numbers 108, 505, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 505, 978 is 1.

1. What is the GCD of 108, 505, 978?

GCD of given numbers 108, 505, 978 is 1

2. How to calculate the greatest common divisor of 108, 505, 978?

We can find the highest common divisor of 108, 505, 978 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 108, 505, 978 i.e 1.

3. How can I use the GCD of 108, 505, 978Calculator?

Out the numbers 108, 505, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.