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 162, 826, 987, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 826, 987, 741 is 1
GCD(162, 826, 987, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 826, 987, 741 is 1
GCD(162, 826, 987, 741) = 1
Given Input numbers are 162, 826, 987, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 162, 826, 987, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 826, 987, 741 is 1.
Therefore, GCD of numbers 162, 826, 987, 741 is 1
Given Input Data is 162, 826, 987, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 741 is 3 x 13 x 19
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(162, 826) = 66906
GCD(162, 826) = ( 162 x 826 ) / 66906
GCD(162, 826) = 133812 / 66906
GCD(162, 826) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
GCD(2, 987) = 1974 / 1974
GCD(2, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 162, 826, 987, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 826, 987, 741?
GCD of 162, 826, 987, 741 is 1
2. Where do I get the detailed procedure to find GCD of 162, 826, 987, 741?
You can find a detailed procedure to find GCD of 162, 826, 987, 741 on our page.
3. How to find GCD of 162, 826, 987, 741 on a calculator?
You can find the GCD of 162, 826, 987, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.