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, 838, 736, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 838, 736, 404 is 1
GCD(77, 838, 736, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 838, 736, 404 is 1
GCD(77, 838, 736, 404) = 1
Given Input numbers are 77, 838, 736, 404
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 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 77, 838, 736, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 838, 736, 404 is 1.
Therefore, GCD of numbers 77, 838, 736, 404 is 1
Given Input Data is 77, 838, 736, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 838 is 2 x 419
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 404 is 2 x 2 x 101
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, 838) = 64526
GCD(77, 838) = ( 77 x 838 ) / 64526
GCD(77, 838) = 64526 / 64526
GCD(77, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 77, 838, 736, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 838, 736, 404?
GCD of 77, 838, 736, 404 is 1
2. Where do I get the detailed procedure to find GCD of 77, 838, 736, 404?
You can find a detailed procedure to find GCD of 77, 838, 736, 404 on our page.
3. How to find GCD of 77, 838, 736, 404 on a calculator?
You can find the GCD of 77, 838, 736, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.