GCD of 14, 370, 670, 206 Calculator

Given Input numbers are 14, 370, 670, 206

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 14, 370, 670, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 370, 670, 206 is 2.

Therefore, GCD of numbers 14, 370, 670, 206 is 2

Given Input Data is 14, 370, 670, 206

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 14 is 2 x 7

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 206 is 2 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(14, 370) = 2590

GCD(14, 370) = ( 14 x 370 ) / 2590

GCD(14, 370) = 5180 / 2590

GCD(14, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

GCD of 14, 370, 670, 206 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 562, 379, 901
• GCD of 10, 916, 546, 942
• GCD of 53, 261, 591, 727
• GCD of 24, 231, 847, 437
• GCD of 63, 151, 276, 670

1. What is the GCD of 14, 370, 670, 206?

GCD of 14, 370, 670, 206 is 2

2. Where do I get the detailed procedure to find GCD of 14, 370, 670, 206?

You can find a detailed procedure to find GCD of 14, 370, 670, 206 on our page.

3. How to find GCD of 14, 370, 670, 206 on a calculator?

You can find the GCD of 14, 370, 670, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.