GCD of 342, 286, 364 Calculator

Given Input numbers are 342, 286, 364

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (342, 286, 364) = 2.

Given numbers are 342, 286, 364

The list of prime factors of all numbers are

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

Prime factors of 286 are 2 x 11 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 342, 286, 364 is 2.

Given numbers are 342, 286, 364

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

Apply this formula for all numbers.

Step1:

LCM(342, 286) = 48906

GCD(342, 286) = ( 342 x 286 ) / 48906

= 342 / 286

= 342

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 342, 286, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 652, 244
• GCD of 385, 480, 677
• GCD of 357, 883, 504
• GCD of 807, 552, 965
• GCD of 860, 399, 632

Given numbers are 342, 286, 364
The greatest common divisor of numbers 342, 286, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 286, 364 is 2.

1. What is the GCD of 342, 286, 364?

GCD of given numbers 342, 286, 364 is 2

2. How to calculate the greatest common divisor of 342, 286, 364?

We can find the highest common divisor of 342, 286, 364 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, 286, 364 i.e 2.

3. How can I use the GCD of 342, 286, 364Calculator?

Out the numbers 342, 286, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.