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 642, 122, 71, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 122, 71, 535 is 1
GCD(642, 122, 71, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 122, 71, 535 is 1
GCD(642, 122, 71, 535) = 1
Given Input numbers are 642, 122, 71, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 642, 122, 71, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 122, 71, 535 is 1.
Therefore, GCD of numbers 642, 122, 71, 535 is 1
Given Input Data is 642, 122, 71, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 122 is 2 x 61
Prime Factorization of 71 is 71
Prime Factorization of 535 is 5 x 107
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(642, 122) = 39162
GCD(642, 122) = ( 642 x 122 ) / 39162
GCD(642, 122) = 78324 / 39162
GCD(642, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 642, 122, 71, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 122, 71, 535?
GCD of 642, 122, 71, 535 is 1
2. Where do I get the detailed procedure to find GCD of 642, 122, 71, 535?
You can find a detailed procedure to find GCD of 642, 122, 71, 535 on our page.
3. How to find GCD of 642, 122, 71, 535 on a calculator?
You can find the GCD of 642, 122, 71, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.