GCD of 864, 978, 421, 759 Calculator

Given Input numbers are 864, 978, 421, 759

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 978 :

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

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (864, 978, 421, 759) = 1.

Given numbers are 864, 978, 421, 759

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 978 are 2 x 3 x 163

Prime factors of 421 are 421

Prime factors of 759 are 3 x 11 x 23

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

Given numbers are 864, 978, 421, 759

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

Apply this formula for all numbers.

Step1:

LCM(864, 978) = 140832

GCD(864, 978) = ( 864 x 978 ) / 140832

= 864 / 978

= 864

Step2:

LCM(6, 421) = 2526

GCD(6, 421) = ( 6 x 421 ) / 2526

= 6 / 421

= 6

Step3:

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

= 1 / 759

= 1

So, Greatest Common Divisor of 864, 978, 421, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 824, 675, 568
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Given numbers are 864, 978, 421, 759
The greatest common divisor of numbers 864, 978, 421, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 978, 421, 759 is 1.

1. What is the GCD of 864, 978, 421, 759?

GCD of given numbers 864, 978, 421, 759 is 1

2. How to calculate the greatest common divisor of 864, 978, 421, 759?

We can find the highest common divisor of 864, 978, 421, 759 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, 978, 421, 759 i.e 1.

3. How can I use the GCD of 864, 978, 421, 759Calculator?

Out the numbers 864, 978, 421, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.