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 77, 162, 776, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 162, 776, 961 is 1
GCD(77, 162, 776, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 162, 776, 961 is 1
GCD(77, 162, 776, 961) = 1
Given Input numbers are 77, 162, 776, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
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 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 77, 162, 776, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 162, 776, 961 is 1.
Therefore, GCD of numbers 77, 162, 776, 961 is 1
Given Input Data is 77, 162, 776, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 961 is 31 x 31
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(77, 162) = 12474
GCD(77, 162) = ( 77 x 162 ) / 12474
GCD(77, 162) = 12474 / 12474
GCD(77, 162) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 77, 162, 776, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 162, 776, 961?
GCD of 77, 162, 776, 961 is 1
2. Where do I get the detailed procedure to find GCD of 77, 162, 776, 961?
You can find a detailed procedure to find GCD of 77, 162, 776, 961 on our page.
3. How to find GCD of 77, 162, 776, 961 on a calculator?
You can find the GCD of 77, 162, 776, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.