GCD of 123, 198, 341, 714 Calculator

Given Input numbers are 123, 198, 341, 714

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (123, 198, 341, 714) = 1.

Given numbers are 123, 198, 341, 714

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 341 are 11 x 31

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 123, 198, 341, 714

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

Apply this formula for all numbers.

Step1:

LCM(123, 198) = 8118

GCD(123, 198) = ( 123 x 198 ) / 8118

= 123 / 198

= 123

Step2:

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

= 3 / 341

= 3

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 123, 198, 341, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 402, 600, 490
• GCD of 957, 400, 241, 313
• GCD of 969, 241, 407, 824
• GCD of 582, 972, 959, 215
• GCD of 913, 520, 388, 155

Given numbers are 123, 198, 341, 714
The greatest common divisor of numbers 123, 198, 341, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 198, 341, 714 is 1.

1. What is the GCD of 123, 198, 341, 714?

GCD of given numbers 123, 198, 341, 714 is 1

2. How to calculate the greatest common divisor of 123, 198, 341, 714?

We can find the highest common divisor of 123, 198, 341, 714 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, 198, 341, 714 i.e 1.

3. How can I use the GCD of 123, 198, 341, 714Calculator?

Out the numbers 123, 198, 341, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.