GCD of 362, 214, 340 Calculator

Given Input numbers are 362, 214, 340

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (362, 214, 340) = 2.

Given numbers are 362, 214, 340

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 214 are 2 x 107

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 362, 214, 340 is 2.

Given numbers are 362, 214, 340

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

Apply this formula for all numbers.

Step1:

LCM(362, 214) = 38734

GCD(362, 214) = ( 362 x 214 ) / 38734

= 362 / 214

= 362

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 362, 214, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 305, 122
• GCD of 607, 198, 600
• GCD of 280, 604, 433
• GCD of 814, 622, 817
• GCD of 810, 251, 119

Given numbers are 362, 214, 340
The greatest common divisor of numbers 362, 214, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 214, 340 is 2.

1. What is the GCD of 362, 214, 340?

GCD of given numbers 362, 214, 340 is 2

2. How to calculate the greatest common divisor of 362, 214, 340?

We can find the highest common divisor of 362, 214, 340 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 362, 214, 340 i.e 2.

3. How can I use the GCD of 362, 214, 340Calculator?

Out the numbers 362, 214, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.