GCD of 714, 449, 858, 958 Calculator

Given Input numbers are 714, 449, 858, 958

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

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 714, 449, 858, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 449, 858, 958 is 1.

Therefore, GCD of numbers 714, 449, 858, 958 is 1

Given Input Data is 714, 449, 858, 958

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

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

Prime Factorization of 449 is 449

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 958 is 2 x 479

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(714, 449) = 320586

GCD(714, 449) = ( 714 x 449 ) / 320586

GCD(714, 449) = 320586 / 320586

GCD(714, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 714, 449, 858, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 394, 430, 979
• GCD of 578, 595, 404, 389
• GCD of 718, 653, 892, 739
• GCD of 707, 857, 879, 679
• GCD of 562, 619, 146, 536

1. What is the GCD of 714, 449, 858, 958?

GCD of 714, 449, 858, 958 is 1

2. Where do I get the detailed procedure to find GCD of 714, 449, 858, 958?

You can find a detailed procedure to find GCD of 714, 449, 858, 958 on our page.

3. How to find GCD of 714, 449, 858, 958 on a calculator?

You can find the GCD of 714, 449, 858, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.