GCD of 14, 435, 677, 708 Calculator

Given Input numbers are 14, 435, 677, 708

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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 14, 435, 677, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 435, 677, 708 is 1.

Therefore, GCD of numbers 14, 435, 677, 708 is 1

Given Input Data is 14, 435, 677, 708

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 677 is 677

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(14, 435) = 6090

GCD(14, 435) = ( 14 x 435 ) / 6090

GCD(14, 435) = 6090 / 6090

GCD(14, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 14, 435, 677, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 486, 959, 908
• GCD of 86, 168, 262, 237
• GCD of 60, 386, 799, 721
• GCD of 20, 171, 923, 265
• GCD of 69, 772, 217, 465

1. What is the GCD of 14, 435, 677, 708?

GCD of 14, 435, 677, 708 is 1

2. Where do I get the detailed procedure to find GCD of 14, 435, 677, 708?

You can find a detailed procedure to find GCD of 14, 435, 677, 708 on our page.

3. How to find GCD of 14, 435, 677, 708 on a calculator?

You can find the GCD of 14, 435, 677, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.