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 852, 827, 70, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 827, 70, 962 is 1
GCD(852, 827, 70, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 827, 70, 962 is 1
GCD(852, 827, 70, 962) = 1
Given Input numbers are 852, 827, 70, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 852, 827, 70, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 827, 70, 962 is 1.
Therefore, GCD of numbers 852, 827, 70, 962 is 1
Given Input Data is 852, 827, 70, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 827 is 827
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 962 is 2 x 13 x 37
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(852, 827) = 704604
GCD(852, 827) = ( 852 x 827 ) / 704604
GCD(852, 827) = 704604 / 704604
GCD(852, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 852, 827, 70, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 827, 70, 962?
GCD of 852, 827, 70, 962 is 1
2. Where do I get the detailed procedure to find GCD of 852, 827, 70, 962?
You can find a detailed procedure to find GCD of 852, 827, 70, 962 on our page.
3. How to find GCD of 852, 827, 70, 962 on a calculator?
You can find the GCD of 852, 827, 70, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.