GCD of 698, 850, 214 Calculator

Given Input numbers are 698, 850, 214

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (698, 850, 214) = 2.

Given numbers are 698, 850, 214

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 698, 850, 214 is 2.

Given numbers are 698, 850, 214

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

Apply this formula for all numbers.

Step1:

LCM(698, 850) = 296650

GCD(698, 850) = ( 698 x 850 ) / 296650

= 698 / 850

= 698

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 698, 850, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 751, 335
• GCD of 300, 815, 104
• GCD of 229, 148, 987
• GCD of 914, 121, 339
• GCD of 993, 662, 205

Given numbers are 698, 850, 214
The greatest common divisor of numbers 698, 850, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 850, 214 is 2.

1. What is the GCD of 698, 850, 214?

GCD of given numbers 698, 850, 214 is 2

2. How to calculate the greatest common divisor of 698, 850, 214?

We can find the highest common divisor of 698, 850, 214 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 698, 850, 214 i.e 2.

3. How can I use the GCD of 698, 850, 214Calculator?

Out the numbers 698, 850, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.