GCD of 414, 854, 741, 997 Calculator

Given Input numbers are 414, 854, 741, 997

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 414, 854, 741, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 854, 741, 997 is 1.

Therefore, GCD of numbers 414, 854, 741, 997 is 1

Given Input Data is 414, 854, 741, 997

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 854 is 2 x 7 x 61

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 997 is 997

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, 854) = 176778

GCD(414, 854) = ( 414 x 854 ) / 176778

GCD(414, 854) = 353556 / 176778

GCD(414, 854) = 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 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 414, 854, 741, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 129, 494, 258
• GCD of 699, 159, 418, 263
• GCD of 855, 971, 759, 359
• GCD of 611, 187, 170, 962
• GCD of 379, 427, 740, 383

1. What is the GCD of 414, 854, 741, 997?

GCD of 414, 854, 741, 997 is 1

2. Where do I get the detailed procedure to find GCD of 414, 854, 741, 997?

You can find a detailed procedure to find GCD of 414, 854, 741, 997 on our page.

3. How to find GCD of 414, 854, 741, 997 on a calculator?

You can find the GCD of 414, 854, 741, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.