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 677, 178, 747, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 178, 747, 985 is 1
GCD(677, 178, 747, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 178, 747, 985 is 1
GCD(677, 178, 747, 985) = 1
Given Input numbers are 677, 178, 747, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 677, 178, 747, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 178, 747, 985 is 1.
Therefore, GCD of numbers 677, 178, 747, 985 is 1
Given Input Data is 677, 178, 747, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 178 is 2 x 89
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 985 is 5 x 197
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(677, 178) = 120506
GCD(677, 178) = ( 677 x 178 ) / 120506
GCD(677, 178) = 120506 / 120506
GCD(677, 178) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 677, 178, 747, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 178, 747, 985?
GCD of 677, 178, 747, 985 is 1
2. Where do I get the detailed procedure to find GCD of 677, 178, 747, 985?
You can find a detailed procedure to find GCD of 677, 178, 747, 985 on our page.
3. How to find GCD of 677, 178, 747, 985 on a calculator?
You can find the GCD of 677, 178, 747, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.