GCD of 124, 214, 67, 346 Calculator

Given Input numbers are 124, 214, 67, 346

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 124, 214, 67, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 214, 67, 346 is 1.

Therefore, GCD of numbers 124, 214, 67, 346 is 1

Given Input Data is 124, 214, 67, 346

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 214 is 2 x 107

Prime Factorization of 67 is 67

Prime Factorization of 346 is 2 x 173

The above numbers do not have any common prime factor. So GCD is 1

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(124, 214) = 13268

GCD(124, 214) = ( 124 x 214 ) / 13268

GCD(124, 214) = 26536 / 13268

GCD(124, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 124, 214, 67, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 393, 44, 723
• GCD of 625, 885, 25, 262
• GCD of 252, 579, 76, 288
• GCD of 566, 132, 61, 254
• GCD of 406, 507, 45, 764

1. What is the GCD of 124, 214, 67, 346?

GCD of 124, 214, 67, 346 is 1

2. Where do I get the detailed procedure to find GCD of 124, 214, 67, 346?

You can find a detailed procedure to find GCD of 124, 214, 67, 346 on our page.

3. How to find GCD of 124, 214, 67, 346 on a calculator?

You can find the GCD of 124, 214, 67, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.