GCD of 123, 237, 726 Calculator

Given Input numbers are 123, 237, 726

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 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (123, 237, 726) = 3.

Given numbers are 123, 237, 726

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 237 are 3 x 79

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 123, 237, 726 is 3.

Given numbers are 123, 237, 726

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

Apply this formula for all numbers.

Step1:

LCM(123, 237) = 9717

GCD(123, 237) = ( 123 x 237 ) / 9717

= 123 / 237

= 123

Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

So, Greatest Common Divisor of 123, 237, 726 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 259, 216
• GCD of 295, 923, 150
• GCD of 734, 628, 210
• GCD of 916, 820, 909
• GCD of 972, 192, 790

Given numbers are 123, 237, 726
The greatest common divisor of numbers 123, 237, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 237, 726 is 3.

1. What is the GCD of 123, 237, 726?

GCD of given numbers 123, 237, 726 is 3

2. How to calculate the greatest common divisor of 123, 237, 726?

We can find the highest common divisor of 123, 237, 726 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, 237, 726 i.e 3.

3. How can I use the GCD of 123, 237, 726Calculator?

Out the numbers 123, 237, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.