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 821, 177, 875, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 177, 875, 946 is 1
GCD(821, 177, 875, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 177, 875, 946 is 1
GCD(821, 177, 875, 946) = 1
Given Input numbers are 821, 177, 875, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 821, 177, 875, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 177, 875, 946 is 1.
Therefore, GCD of numbers 821, 177, 875, 946 is 1
Given Input Data is 821, 177, 875, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 177 is 3 x 59
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 946 is 2 x 11 x 43
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(821, 177) = 145317
GCD(821, 177) = ( 821 x 177 ) / 145317
GCD(821, 177) = 145317 / 145317
GCD(821, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 821, 177, 875, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 177, 875, 946?
GCD of 821, 177, 875, 946 is 1
2. Where do I get the detailed procedure to find GCD of 821, 177, 875, 946?
You can find a detailed procedure to find GCD of 821, 177, 875, 946 on our page.
3. How to find GCD of 821, 177, 875, 946 on a calculator?
You can find the GCD of 821, 177, 875, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.