GCD of 714, 297, 123 Calculator

Given Input numbers are 714, 297, 123

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

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 123 :

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

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (714, 297, 123) = 3.

Given numbers are 714, 297, 123

The list of prime factors of all numbers are

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

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 714, 297, 123 is 3.

Given numbers are 714, 297, 123

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

Apply this formula for all numbers.

Step1:

LCM(714, 297) = 70686

GCD(714, 297) = ( 714 x 297 ) / 70686

= 714 / 297

= 714

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 714, 297, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 328, 955
• GCD of 861, 727, 433
• GCD of 466, 162, 400
• GCD of 527, 751, 961
• GCD of 527, 745, 931

Given numbers are 714, 297, 123
The greatest common divisor of numbers 714, 297, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 297, 123 is 3.

1. What is the GCD of 714, 297, 123?

GCD of given numbers 714, 297, 123 is 3

2. How to calculate the greatest common divisor of 714, 297, 123?

We can find the highest common divisor of 714, 297, 123 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 714, 297, 123 i.e 3.

3. How can I use the GCD of 714, 297, 123Calculator?

Out the numbers 714, 297, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.