GCD of 214, 314, 350 Calculator

Given Input numbers are 214, 314, 350

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (214, 314, 350) = 2.

Given numbers are 214, 314, 350

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 314 are 2 x 157

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 214, 314, 350 is 2.

Given numbers are 214, 314, 350

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

Apply this formula for all numbers.

Step1:

LCM(214, 314) = 33598

GCD(214, 314) = ( 214 x 314 ) / 33598

= 214 / 314

= 214

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 214, 314, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 628, 698
• GCD of 408, 993, 661
• GCD of 209, 565, 499
• GCD of 142, 685, 241
• GCD of 359, 437, 882

Given numbers are 214, 314, 350
The greatest common divisor of numbers 214, 314, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 314, 350 is 2.

1. What is the GCD of 214, 314, 350?

GCD of given numbers 214, 314, 350 is 2

2. How to calculate the greatest common divisor of 214, 314, 350?

We can find the highest common divisor of 214, 314, 350 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 214, 314, 350 i.e 2.

3. How can I use the GCD of 214, 314, 350Calculator?

Out the numbers 214, 314, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.