GCD of 978, 216, 788, 842 Calculator

Given Input numbers are 978, 216, 788, 842

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 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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (978, 216, 788, 842) = 2.

Given numbers are 978, 216, 788, 842

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 788 are 2 x 2 x 197

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 978, 216, 788, 842 is 2.

Given numbers are 978, 216, 788, 842

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

Apply this formula for all numbers.

Step1:

LCM(978, 216) = 35208

GCD(978, 216) = ( 978 x 216 ) / 35208

= 978 / 216

= 978

Step2:

LCM(6, 788) = 2364

GCD(6, 788) = ( 6 x 788 ) / 2364

= 6 / 788

= 6

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 978, 216, 788, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 366, 384, 957
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• GCD of 114, 289, 405, 941

Given numbers are 978, 216, 788, 842
The greatest common divisor of numbers 978, 216, 788, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 216, 788, 842 is 2.

1. What is the GCD of 978, 216, 788, 842?

GCD of given numbers 978, 216, 788, 842 is 2

2. How to calculate the greatest common divisor of 978, 216, 788, 842?

We can find the highest common divisor of 978, 216, 788, 842 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, 216, 788, 842 i.e 2.

3. How can I use the GCD of 978, 216, 788, 842Calculator?

Out the numbers 978, 216, 788, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.