GCD of 342, 477, 369 Calculator

Given Input numbers are 342, 477, 369

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 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (342, 477, 369) = 9.

Given numbers are 342, 477, 369

The list of prime factors of all numbers are

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

Prime factors of 477 are 3 x 3 x 53

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3²

Therefore, GCD of 342, 477, 369 is 9.

Given numbers are 342, 477, 369

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

Apply this formula for all numbers.

Step1:

LCM(342, 477) = 18126

GCD(342, 477) = ( 342 x 477 ) / 18126

= 342 / 477

= 342

Step2:

LCM(9, 369) = 369

GCD(9, 369) = ( 9 x 369 ) / 369

= 9 / 369

= 9

So, Greatest Common Divisor of 342, 477, 369 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 681, 931
• GCD of 122, 334, 361
• GCD of 240, 345, 321
• GCD of 593, 708, 266
• GCD of 797, 219, 575

Given numbers are 342, 477, 369
The greatest common divisor of numbers 342, 477, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 477, 369 is 9.

1. What is the GCD of 342, 477, 369?

GCD of given numbers 342, 477, 369 is 9

2. How to calculate the greatest common divisor of 342, 477, 369?

We can find the highest common divisor of 342, 477, 369 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, 477, 369 i.e 9.

3. How can I use the GCD of 342, 477, 369Calculator?

Out the numbers 342, 477, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.