Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 65, 442, 402, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 442, 402, 681 is 1
GCD(65, 442, 402, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 442, 402, 681 is 1
GCD(65, 442, 402, 681) = 1
Given Input numbers are 65, 442, 402, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 65, 442, 402, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 442, 402, 681 is 1.
Therefore, GCD of numbers 65, 442, 402, 681 is 1
Given Input Data is 65, 442, 402, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 681 is 3 x 227
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(65, 442) = 2210
GCD(65, 442) = ( 65 x 442 ) / 2210
GCD(65, 442) = 28730 / 2210
GCD(65, 442) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 402) = 5226
GCD(13, 402) = ( 13 x 402 ) / 5226
GCD(13, 402) = 5226 / 5226
GCD(13, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 65, 442, 402, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 442, 402, 681?
GCD of 65, 442, 402, 681 is 1
2. Where do I get the detailed procedure to find GCD of 65, 442, 402, 681?
You can find a detailed procedure to find GCD of 65, 442, 402, 681 on our page.
3. How to find GCD of 65, 442, 402, 681 on a calculator?
You can find the GCD of 65, 442, 402, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.