GCD of 342, 508, 356 Calculator

Given Input numbers are 342, 508, 356

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (342, 508, 356) = 2.

Given numbers are 342, 508, 356

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 342, 508, 356 is 2.

Given numbers are 342, 508, 356

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

Apply this formula for all numbers.

Step1:

LCM(342, 508) = 86868

GCD(342, 508) = ( 342 x 508 ) / 86868

= 342 / 508

= 342

Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 342, 508, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 433, 309
• GCD of 112, 162, 274
• GCD of 254, 137, 960
• GCD of 219, 335, 947
• GCD of 273, 601, 252

Given numbers are 342, 508, 356
The greatest common divisor of numbers 342, 508, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 508, 356 is 2.

1. What is the GCD of 342, 508, 356?

GCD of given numbers 342, 508, 356 is 2

2. How to calculate the greatest common divisor of 342, 508, 356?

We can find the highest common divisor of 342, 508, 356 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, 508, 356 i.e 2.

3. How can I use the GCD of 342, 508, 356Calculator?

Out the numbers 342, 508, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.