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 771, 948, 366, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 948, 366, 826 is 1
GCD(771, 948, 366, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 948, 366, 826 is 1
GCD(771, 948, 366, 826) = 1
Given Input numbers are 771, 948, 366, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 771, 948, 366, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 948, 366, 826 is 1.
Therefore, GCD of numbers 771, 948, 366, 826 is 1
Given Input Data is 771, 948, 366, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 826 is 2 x 7 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(771, 948) = 243636
GCD(771, 948) = ( 771 x 948 ) / 243636
GCD(771, 948) = 730908 / 243636
GCD(771, 948) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 366) = 366
GCD(3, 366) = ( 3 x 366 ) / 366
GCD(3, 366) = 1098 / 366
GCD(3, 366) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 826) = 2478
GCD(3, 826) = ( 3 x 826 ) / 2478
GCD(3, 826) = 2478 / 2478
GCD(3, 826) = 1
GCD of 771, 948, 366, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 948, 366, 826?
GCD of 771, 948, 366, 826 is 1
2. Where do I get the detailed procedure to find GCD of 771, 948, 366, 826?
You can find a detailed procedure to find GCD of 771, 948, 366, 826 on our page.
3. How to find GCD of 771, 948, 366, 826 on a calculator?
You can find the GCD of 771, 948, 366, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.