GCD of 414, 347, 35, 708 Calculator

Given Input numbers are 414, 347, 35, 708

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 414, 347, 35, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 347, 35, 708 is 1.

Therefore, GCD of numbers 414, 347, 35, 708 is 1

Given Input Data is 414, 347, 35, 708

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 347 is 347

Prime Factorization of 35 is 5 x 7

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(414, 347) = 143658

GCD(414, 347) = ( 414 x 347 ) / 143658

GCD(414, 347) = 143658 / 143658

GCD(414, 347) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 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 414, 347, 35, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 244, 39, 323
• GCD of 559, 431, 99, 783
• GCD of 239, 297, 28, 304
• GCD of 854, 194, 51, 796
• GCD of 809, 176, 50, 538

1. What is the GCD of 414, 347, 35, 708?

GCD of 414, 347, 35, 708 is 1

2. Where do I get the detailed procedure to find GCD of 414, 347, 35, 708?

You can find a detailed procedure to find GCD of 414, 347, 35, 708 on our page.

3. How to find GCD of 414, 347, 35, 708 on a calculator?

You can find the GCD of 414, 347, 35, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.