GCD of 34, 420, 741, 698 Calculator

Given Input numbers are 34, 420, 741, 698

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 34, 420, 741, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 420, 741, 698 is 1.

Therefore, GCD of numbers 34, 420, 741, 698 is 1

Given Input Data is 34, 420, 741, 698

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 698 is 2 x 349

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(34, 420) = 7140

GCD(34, 420) = ( 34 x 420 ) / 7140

GCD(34, 420) = 14280 / 7140

GCD(34, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 34, 420, 741, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 802, 629, 268
• GCD of 10, 384, 949, 807
• GCD of 38, 782, 156, 461
• GCD of 79, 737, 190, 878
• GCD of 35, 881, 843, 136

1. What is the GCD of 34, 420, 741, 698?

GCD of 34, 420, 741, 698 is 1

2. Where do I get the detailed procedure to find GCD of 34, 420, 741, 698?

You can find a detailed procedure to find GCD of 34, 420, 741, 698 on our page.

3. How to find GCD of 34, 420, 741, 698 on a calculator?

You can find the GCD of 34, 420, 741, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.