GCD of 109, 426, 342 Calculator

Given Input numbers are 109, 426, 342

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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

GCD of numbers is the greatest common divisor

So, the GCD (109, 426, 342) = 1.

Given numbers are 109, 426, 342

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 426 are 2 x 3 x 71

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 109, 426, 342

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

Apply this formula for all numbers.

Step1:

LCM(109, 426) = 46434

GCD(109, 426) = ( 109 x 426 ) / 46434

= 109 / 426

= 109

Step2:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 109, 426, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 315, 376
• GCD of 116, 399, 502
• GCD of 586, 314, 437
• GCD of 818, 587, 501
• GCD of 529, 638, 558

Given numbers are 109, 426, 342
The greatest common divisor of numbers 109, 426, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 426, 342 is 1.

1. What is the GCD of 109, 426, 342?

GCD of given numbers 109, 426, 342 is 1

2. How to calculate the greatest common divisor of 109, 426, 342?

We can find the highest common divisor of 109, 426, 342 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 109, 426, 342 i.e 1.

3. How can I use the GCD of 109, 426, 342Calculator?

Out the numbers 109, 426, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.