GCD of 978, 355, 288, 108 Calculator

Given Input numbers are 978, 355, 288, 108

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

Divisors of 978 :

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

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 355, 288, 108) = 1.

Given numbers are 978, 355, 288, 108

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 355 are 5 x 71

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

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

Given numbers are 978, 355, 288, 108

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

Apply this formula for all numbers.

Step1:

LCM(978, 355) = 347190

GCD(978, 355) = ( 978 x 355 ) / 347190

= 978 / 355

= 978

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 978, 355, 288, 108 is 1

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Given numbers are 978, 355, 288, 108
The greatest common divisor of numbers 978, 355, 288, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 355, 288, 108 is 1.

1. What is the GCD of 978, 355, 288, 108?

GCD of given numbers 978, 355, 288, 108 is 1

2. How to calculate the greatest common divisor of 978, 355, 288, 108?

We can find the highest common divisor of 978, 355, 288, 108 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 978, 355, 288, 108 i.e 1.

3. How can I use the GCD of 978, 355, 288, 108Calculator?

Out the numbers 978, 355, 288, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.