GCD of 974, 614, 35, 814 Calculator

Given Input numbers are 974, 614, 35, 814

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 35

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

1, 5, 7, 35

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 974, 614, 35, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 614, 35, 814 is 1.

Therefore, GCD of numbers 974, 614, 35, 814 is 1

Given Input Data is 974, 614, 35, 814

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 614 is 2 x 307

Prime Factorization of 35 is 5 x 7

Prime Factorization of 814 is 2 x 11 x 37

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(974, 614) = 299018

GCD(974, 614) = ( 974 x 614 ) / 299018

GCD(974, 614) = 598036 / 299018

GCD(974, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 974, 614, 35, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 693, 71, 268
• GCD of 282, 399, 35, 515
• GCD of 175, 351, 91, 195
• GCD of 223, 195, 89, 364
• GCD of 627, 846, 64, 876

1. What is the GCD of 974, 614, 35, 814?

GCD of 974, 614, 35, 814 is 1

2. Where do I get the detailed procedure to find GCD of 974, 614, 35, 814?

You can find a detailed procedure to find GCD of 974, 614, 35, 814 on our page.

3. How to find GCD of 974, 614, 35, 814 on a calculator?

You can find the GCD of 974, 614, 35, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.