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 711, 962, 86, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 962, 86, 109 is 1
GCD(711, 962, 86, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 962, 86, 109 is 1
GCD(711, 962, 86, 109) = 1
Given Input numbers are 711, 962, 86, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 711, 962, 86, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 962, 86, 109 is 1.
Therefore, GCD of numbers 711, 962, 86, 109 is 1
Given Input Data is 711, 962, 86, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 86 is 2 x 43
Prime Factorization of 109 is 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(711, 962) = 683982
GCD(711, 962) = ( 711 x 962 ) / 683982
GCD(711, 962) = 683982 / 683982
GCD(711, 962) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 711, 962, 86, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 962, 86, 109?
GCD of 711, 962, 86, 109 is 1
2. Where do I get the detailed procedure to find GCD of 711, 962, 86, 109?
You can find a detailed procedure to find GCD of 711, 962, 86, 109 on our page.
3. How to find GCD of 711, 962, 86, 109 on a calculator?
You can find the GCD of 711, 962, 86, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.