GCD of 109, 714, 949 Calculator

Given Input numbers are 109, 714, 949

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 109, 714, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 714, 949 is 1.

Therefore, GCD of numbers 109, 714, 949 is 1

Given Input Data is 109, 714, 949

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

Prime Factorization of 109 is 109

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 949 is 13 x 73

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(109, 714) = 77826

GCD(109, 714) = ( 109 x 714 ) / 77826

GCD(109, 714) = 77826 / 77826

GCD(109, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 109, 714, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 647, 101
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1. What is the GCD of 109, 714, 949?

GCD of 109, 714, 949 is 1

2. Where do I get the detailed procedure to find GCD of 109, 714, 949?

You can find a detailed procedure to find GCD of 109, 714, 949 on our page.

3. How to find GCD of 109, 714, 949 on a calculator?

You can find the GCD of 109, 714, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.