GCD of 164, 816, 954, 343 Calculator

Given Input numbers are 164, 816, 954, 343

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (164, 816, 954, 343) = 1.

Given numbers are 164, 816, 954, 343

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 164, 816, 954, 343

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

Apply this formula for all numbers.

Step1:

LCM(164, 816) = 33456

GCD(164, 816) = ( 164 x 816 ) / 33456

= 164 / 816

= 164

Step2:

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

= 4 / 954

= 4

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 164, 816, 954, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 276, 884, 580
• GCD of 367, 515, 481, 694
• GCD of 543, 788, 913, 684
• GCD of 405, 603, 743, 849
• GCD of 665, 277, 811, 452

Given numbers are 164, 816, 954, 343
The greatest common divisor of numbers 164, 816, 954, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 816, 954, 343 is 1.

1. What is the GCD of 164, 816, 954, 343?

GCD of given numbers 164, 816, 954, 343 is 1

2. How to calculate the greatest common divisor of 164, 816, 954, 343?

We can find the highest common divisor of 164, 816, 954, 343 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 164, 816, 954, 343 i.e 1.

3. How can I use the GCD of 164, 816, 954, 343Calculator?

Out the numbers 164, 816, 954, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.