GCD of 741, 396, 123, 492 Calculator

Given Input numbers are 741, 396, 123, 492

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (741, 396, 123, 492) = 3.

Given numbers are 741, 396, 123, 492

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 123 are 3 x 41

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 741, 396, 123, 492 is 3.

Given numbers are 741, 396, 123, 492

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

Apply this formula for all numbers.

Step1:

LCM(741, 396) = 97812

GCD(741, 396) = ( 741 x 396 ) / 97812

= 741 / 396

= 741

Step2:

LCM(3, 123) = 123

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

= 3 / 123

= 3

Step3:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

So, Greatest Common Divisor of 741, 396, 123, 492 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 271, 301, 239
• GCD of 250, 124, 402, 962
• GCD of 765, 546, 373, 175
• GCD of 262, 944, 436, 803
• GCD of 229, 100, 718, 411

Given numbers are 741, 396, 123, 492
The greatest common divisor of numbers 741, 396, 123, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 396, 123, 492 is 3.

1. What is the GCD of 741, 396, 123, 492?

GCD of given numbers 741, 396, 123, 492 is 3

2. How to calculate the greatest common divisor of 741, 396, 123, 492?

We can find the highest common divisor of 741, 396, 123, 492 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 741, 396, 123, 492 i.e 3.

3. How can I use the GCD of 741, 396, 123, 492Calculator?

Out the numbers 741, 396, 123, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.