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 755, 129, 142, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 129, 142, 101 is 1
GCD(755, 129, 142, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 129, 142, 101 is 1
GCD(755, 129, 142, 101) = 1
Given Input numbers are 755, 129, 142, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 755, 129, 142, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 129, 142, 101 is 1.
Therefore, GCD of numbers 755, 129, 142, 101 is 1
Given Input Data is 755, 129, 142, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 129 is 3 x 43
Prime Factorization of 142 is 2 x 71
Prime Factorization of 101 is 101
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(755, 129) = 97395
GCD(755, 129) = ( 755 x 129 ) / 97395
GCD(755, 129) = 97395 / 97395
GCD(755, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 755, 129, 142, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 129, 142, 101?
GCD of 755, 129, 142, 101 is 1
2. Where do I get the detailed procedure to find GCD of 755, 129, 142, 101?
You can find a detailed procedure to find GCD of 755, 129, 142, 101 on our page.
3. How to find GCD of 755, 129, 142, 101 on a calculator?
You can find the GCD of 755, 129, 142, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.