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 832, 877, 221, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 877, 221, 767 is 1
GCD(832, 877, 221, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 877, 221, 767 is 1
GCD(832, 877, 221, 767) = 1
Given Input numbers are 832, 877, 221, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 832, 877, 221, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 877, 221, 767 is 1.
Therefore, GCD of numbers 832, 877, 221, 767 is 1
Given Input Data is 832, 877, 221, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 877 is 877
Prime Factorization of 221 is 13 x 17
Prime Factorization of 767 is 13 x 59
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(832, 877) = 729664
GCD(832, 877) = ( 832 x 877 ) / 729664
GCD(832, 877) = 729664 / 729664
GCD(832, 877) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 832, 877, 221, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 877, 221, 767?
GCD of 832, 877, 221, 767 is 1
2. Where do I get the detailed procedure to find GCD of 832, 877, 221, 767?
You can find a detailed procedure to find GCD of 832, 877, 221, 767 on our page.
3. How to find GCD of 832, 877, 221, 767 on a calculator?
You can find the GCD of 832, 877, 221, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.