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, 945, 884, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 945, 884, 337 is 1
GCD(77, 945, 884, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 945, 884, 337 is 1
GCD(77, 945, 884, 337) = 1
Given Input numbers are 77, 945, 884, 337
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 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 77, 945, 884, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 945, 884, 337 is 1.
Therefore, GCD of numbers 77, 945, 884, 337 is 1
Given Input Data is 77, 945, 884, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 337 is 337
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, 945) = 10395
GCD(77, 945) = ( 77 x 945 ) / 10395
GCD(77, 945) = 72765 / 10395
GCD(77, 945) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 884) = 6188
GCD(7, 884) = ( 7 x 884 ) / 6188
GCD(7, 884) = 6188 / 6188
GCD(7, 884) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 77, 945, 884, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 945, 884, 337?
GCD of 77, 945, 884, 337 is 1
2. Where do I get the detailed procedure to find GCD of 77, 945, 884, 337?
You can find a detailed procedure to find GCD of 77, 945, 884, 337 on our page.
3. How to find GCD of 77, 945, 884, 337 on a calculator?
You can find the GCD of 77, 945, 884, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.