GCD of 684, 221, 821, 854 Calculator

Given Input numbers are 684, 221, 821, 854

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (684, 221, 821, 854) = 1.

Given numbers are 684, 221, 821, 854

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 221 are 13 x 17

Prime factors of 821 are 821

Prime factors of 854 are 2 x 7 x 61

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

Given numbers are 684, 221, 821, 854

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

Apply this formula for all numbers.

Step1:

LCM(684, 221) = 151164

GCD(684, 221) = ( 684 x 221 ) / 151164

= 684 / 221

= 684

Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

Step3:

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

= 1 / 854

= 1

So, Greatest Common Divisor of 684, 221, 821, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 462, 260, 339
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• GCD of 923, 807, 495, 894
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• GCD of 878, 162, 620, 153

Given numbers are 684, 221, 821, 854
The greatest common divisor of numbers 684, 221, 821, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 221, 821, 854 is 1.

1. What is the GCD of 684, 221, 821, 854?

GCD of given numbers 684, 221, 821, 854 is 1

2. How to calculate the greatest common divisor of 684, 221, 821, 854?

We can find the highest common divisor of 684, 221, 821, 854 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 684, 221, 821, 854 i.e 1.

3. How can I use the GCD of 684, 221, 821, 854Calculator?

Out the numbers 684, 221, 821, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.