GCD of 216, 312, 125, 978 Calculator

Given Input numbers are 216, 312, 125, 978

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

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 (216, 312, 125, 978) = 1.

Given numbers are 216, 312, 125, 978

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 125 are 5 x 5 x 5

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 216, 312, 125, 978

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

Apply this formula for all numbers.

Step1:

LCM(216, 312) = 2808

GCD(216, 312) = ( 216 x 312 ) / 2808

= 216 / 312

= 216

Step2:

LCM(24, 125) = 3000

GCD(24, 125) = ( 24 x 125 ) / 3000

= 24 / 125

= 24

Step3:

LCM(1, 978) = 978

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

= 1 / 978

= 1

So, Greatest Common Divisor of 216, 312, 125, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 605, 436, 453
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Given numbers are 216, 312, 125, 978
The greatest common divisor of numbers 216, 312, 125, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 312, 125, 978 is 1.

1. What is the GCD of 216, 312, 125, 978?

GCD of given numbers 216, 312, 125, 978 is 1

2. How to calculate the greatest common divisor of 216, 312, 125, 978?

We can find the highest common divisor of 216, 312, 125, 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 216, 312, 125, 978 i.e 1.

3. How can I use the GCD of 216, 312, 125, 978Calculator?

Out the numbers 216, 312, 125, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.