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, 561, 792, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 561, 792, 262 is 1
GCD(771, 561, 792, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 561, 792, 262 is 1
GCD(771, 561, 792, 262) = 1
Given Input numbers are 771, 561, 792, 262
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 771, 561, 792, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 561, 792, 262 is 1.
Therefore, GCD of numbers 771, 561, 792, 262 is 1
Given Input Data is 771, 561, 792, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 262 is 2 x 131
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, 561) = 144177
GCD(771, 561) = ( 771 x 561 ) / 144177
GCD(771, 561) = 432531 / 144177
GCD(771, 561) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 792) = 792
GCD(3, 792) = ( 3 x 792 ) / 792
GCD(3, 792) = 2376 / 792
GCD(3, 792) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 262) = 786
GCD(3, 262) = ( 3 x 262 ) / 786
GCD(3, 262) = 786 / 786
GCD(3, 262) = 1
GCD of 771, 561, 792, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 561, 792, 262?
GCD of 771, 561, 792, 262 is 1
2. Where do I get the detailed procedure to find GCD of 771, 561, 792, 262?
You can find a detailed procedure to find GCD of 771, 561, 792, 262 on our page.
3. How to find GCD of 771, 561, 792, 262 on a calculator?
You can find the GCD of 771, 561, 792, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.