GCD of 342, 696, 723, 378 Calculator

Given Input numbers are 342, 696, 723, 378

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (342, 696, 723, 378) = 3.

Given numbers are 342, 696, 723, 378

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 723 are 3 x 241

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 342, 696, 723, 378 is 3.

Given numbers are 342, 696, 723, 378

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

Apply this formula for all numbers.

Step1:

LCM(342, 696) = 39672

GCD(342, 696) = ( 342 x 696 ) / 39672

= 342 / 696

= 342

Step2:

LCM(6, 723) = 1446

GCD(6, 723) = ( 6 x 723 ) / 1446

= 6 / 723

= 6

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 342, 696, 723, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 494, 205, 387
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• GCD of 118, 376, 448, 562
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Given numbers are 342, 696, 723, 378
The greatest common divisor of numbers 342, 696, 723, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 696, 723, 378 is 3.

1. What is the GCD of 342, 696, 723, 378?

GCD of given numbers 342, 696, 723, 378 is 3

2. How to calculate the greatest common divisor of 342, 696, 723, 378?

We can find the highest common divisor of 342, 696, 723, 378 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 342, 696, 723, 378 i.e 3.

3. How can I use the GCD of 342, 696, 723, 378Calculator?

Out the numbers 342, 696, 723, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.