GCD of 123, 654, 414, 343 Calculator

Given Input numbers are 123, 654, 414, 343

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (123, 654, 414, 343) = 1.

Given numbers are 123, 654, 414, 343

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 654 are 2 x 3 x 109

Prime factors of 414 are 2 x 3 x 3 x 23

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 123, 654, 414, 343

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

Apply this formula for all numbers.

Step1:

LCM(123, 654) = 26814

GCD(123, 654) = ( 123 x 654 ) / 26814

= 123 / 654

= 123

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

So, Greatest Common Divisor of 123, 654, 414, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 442, 958, 854
• GCD of 740, 300, 405, 740
• GCD of 567, 990, 670, 166
• GCD of 694, 986, 140, 286
• GCD of 260, 356, 701, 376

Given numbers are 123, 654, 414, 343
The greatest common divisor of numbers 123, 654, 414, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 654, 414, 343 is 1.

1. What is the GCD of 123, 654, 414, 343?

GCD of given numbers 123, 654, 414, 343 is 1

2. How to calculate the greatest common divisor of 123, 654, 414, 343?

We can find the highest common divisor of 123, 654, 414, 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 123, 654, 414, 343 i.e 1.

3. How can I use the GCD of 123, 654, 414, 343Calculator?

Out the numbers 123, 654, 414, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.