GCD of 828, 689, 978, 336 Calculator

Given Input numbers are 828, 689, 978, 336

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 978 :

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

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (828, 689, 978, 336) = 1.

Given numbers are 828, 689, 978, 336

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 689 are 13 x 53

Prime factors of 978 are 2 x 3 x 163

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Given numbers are 828, 689, 978, 336

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

Apply this formula for all numbers.

Step1:

LCM(828, 689) = 570492

GCD(828, 689) = ( 828 x 689 ) / 570492

= 828 / 689

= 828

Step2:

LCM(1, 978) = 978

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

= 1 / 978

= 1

Step3:

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

= 1 / 336

= 1

So, Greatest Common Divisor of 828, 689, 978, 336 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 210, 717, 572
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Given numbers are 828, 689, 978, 336
The greatest common divisor of numbers 828, 689, 978, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 689, 978, 336 is 1.

1. What is the GCD of 828, 689, 978, 336?

GCD of given numbers 828, 689, 978, 336 is 1

2. How to calculate the greatest common divisor of 828, 689, 978, 336?

We can find the highest common divisor of 828, 689, 978, 336 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 828, 689, 978, 336 i.e 1.

3. How can I use the GCD of 828, 689, 978, 336Calculator?

Out the numbers 828, 689, 978, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.