GCD of 828, 549, 14, 694 Calculator

Given Input numbers are 828, 549, 14, 694

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (828, 549, 14, 694) = 1.

Given numbers are 828, 549, 14, 694

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 549 are 3 x 3 x 61

Prime factors of 14 are 2 x 7

Prime factors of 694 are 2 x 347

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

Given numbers are 828, 549, 14, 694

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

Apply this formula for all numbers.

Step1:

LCM(828, 549) = 50508

GCD(828, 549) = ( 828 x 549 ) / 50508

= 828 / 549

= 828

Step2:

LCM(9, 14) = 126

GCD(9, 14) = ( 9 x 14 ) / 126

= 9 / 14

= 9

Step3:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1

So, Greatest Common Divisor of 828, 549, 14, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 900, 98, 297
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• GCD of 598, 568, 48, 581
• GCD of 168, 174, 92, 356
• GCD of 993, 751, 66, 261

Given numbers are 828, 549, 14, 694
The greatest common divisor of numbers 828, 549, 14, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 549, 14, 694 is 1.

1. What is the GCD of 828, 549, 14, 694?

GCD of given numbers 828, 549, 14, 694 is 1

2. How to calculate the greatest common divisor of 828, 549, 14, 694?

We can find the highest common divisor of 828, 549, 14, 694 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, 549, 14, 694 i.e 1.

3. How can I use the GCD of 828, 549, 14, 694Calculator?

Out the numbers 828, 549, 14, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.