GCD of 864, 364, 978, 542 Calculator

Given Input numbers are 864, 364, 978, 542

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 978 :

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

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (864, 364, 978, 542) = 2.

Given numbers are 864, 364, 978, 542

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 864, 364, 978, 542 is 2.

Given numbers are 864, 364, 978, 542

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

Apply this formula for all numbers.

Step1:

LCM(864, 364) = 78624

GCD(864, 364) = ( 864 x 364 ) / 78624

= 864 / 364

= 864

Step2:

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

= 4 / 978

= 4

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 864, 364, 978, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 275, 520, 528
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Given numbers are 864, 364, 978, 542
The greatest common divisor of numbers 864, 364, 978, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 364, 978, 542 is 2.

1. What is the GCD of 864, 364, 978, 542?

GCD of given numbers 864, 364, 978, 542 is 2

2. How to calculate the greatest common divisor of 864, 364, 978, 542?

We can find the highest common divisor of 864, 364, 978, 542 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 864, 364, 978, 542 i.e 2.

3. How can I use the GCD of 864, 364, 978, 542Calculator?

Out the numbers 864, 364, 978, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.