GCD of 418, 707, 35, 677 Calculator

Given Input numbers are 418, 707, 35, 677

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 35

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

1, 5, 7, 35

Divisors of 677

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

1, 677

Greatest Common Divisior

We found the divisors of 418, 707, 35, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 707, 35, 677 is 1.

Therefore, GCD of numbers 418, 707, 35, 677 is 1

Given Input Data is 418, 707, 35, 677

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 707 is 7 x 101

Prime Factorization of 35 is 5 x 7

Prime Factorization of 677 is 677

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(418, 707) = 295526

GCD(418, 707) = ( 418 x 707 ) / 295526

GCD(418, 707) = 295526 / 295526

GCD(418, 707) = 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 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

GCD of 418, 707, 35, 677 is 1

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1. What is the GCD of 418, 707, 35, 677?

GCD of 418, 707, 35, 677 is 1

2. Where do I get the detailed procedure to find GCD of 418, 707, 35, 677?

You can find a detailed procedure to find GCD of 418, 707, 35, 677 on our page.

3. How to find GCD of 418, 707, 35, 677 on a calculator?

You can find the GCD of 418, 707, 35, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.