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 71, 620, 103, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 620, 103, 442 is 1
GCD(71, 620, 103, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 620, 103, 442 is 1
GCD(71, 620, 103, 442) = 1
Given Input numbers are 71, 620, 103, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 71, 620, 103, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 620, 103, 442 is 1.
Therefore, GCD of numbers 71, 620, 103, 442 is 1
Given Input Data is 71, 620, 103, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 103 is 103
Prime Factorization of 442 is 2 x 13 x 17
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(71, 620) = 44020
GCD(71, 620) = ( 71 x 620 ) / 44020
GCD(71, 620) = 44020 / 44020
GCD(71, 620) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 71, 620, 103, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 620, 103, 442?
GCD of 71, 620, 103, 442 is 1
2. Where do I get the detailed procedure to find GCD of 71, 620, 103, 442?
You can find a detailed procedure to find GCD of 71, 620, 103, 442 on our page.
3. How to find GCD of 71, 620, 103, 442 on a calculator?
You can find the GCD of 71, 620, 103, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.