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 762, 852, 157, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 852, 157, 835 is 1
GCD(762, 852, 157, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 852, 157, 835 is 1
GCD(762, 852, 157, 835) = 1
Given Input numbers are 762, 852, 157, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
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 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 762, 852, 157, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 852, 157, 835 is 1.
Therefore, GCD of numbers 762, 852, 157, 835 is 1
Given Input Data is 762, 852, 157, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 157 is 157
Prime Factorization of 835 is 5 x 167
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(762, 852) = 108204
GCD(762, 852) = ( 762 x 852 ) / 108204
GCD(762, 852) = 649224 / 108204
GCD(762, 852) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 157) = 942
GCD(6, 157) = ( 6 x 157 ) / 942
GCD(6, 157) = 942 / 942
GCD(6, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 762, 852, 157, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 852, 157, 835?
GCD of 762, 852, 157, 835 is 1
2. Where do I get the detailed procedure to find GCD of 762, 852, 157, 835?
You can find a detailed procedure to find GCD of 762, 852, 157, 835 on our page.
3. How to find GCD of 762, 852, 157, 835 on a calculator?
You can find the GCD of 762, 852, 157, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.