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 141, 689, 71, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 689, 71, 872 is 1
GCD(141, 689, 71, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 689, 71, 872 is 1
GCD(141, 689, 71, 872) = 1
Given Input numbers are 141, 689, 71, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 141, 689, 71, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 689, 71, 872 is 1.
Therefore, GCD of numbers 141, 689, 71, 872 is 1
Given Input Data is 141, 689, 71, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 689 is 13 x 53
Prime Factorization of 71 is 71
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(141, 689) = 97149
GCD(141, 689) = ( 141 x 689 ) / 97149
GCD(141, 689) = 97149 / 97149
GCD(141, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 141, 689, 71, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 689, 71, 872?
GCD of 141, 689, 71, 872 is 1
2. Where do I get the detailed procedure to find GCD of 141, 689, 71, 872?
You can find a detailed procedure to find GCD of 141, 689, 71, 872 on our page.
3. How to find GCD of 141, 689, 71, 872 on a calculator?
You can find the GCD of 141, 689, 71, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.