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 177, 307, 690, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 307, 690, 654 is 1
GCD(177, 307, 690, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 307, 690, 654 is 1
GCD(177, 307, 690, 654) = 1
Given Input numbers are 177, 307, 690, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 177, 307, 690, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 307, 690, 654 is 1.
Therefore, GCD of numbers 177, 307, 690, 654 is 1
Given Input Data is 177, 307, 690, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 307 is 307
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 654 is 2 x 3 x 109
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(177, 307) = 54339
GCD(177, 307) = ( 177 x 307 ) / 54339
GCD(177, 307) = 54339 / 54339
GCD(177, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 177, 307, 690, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 307, 690, 654?
GCD of 177, 307, 690, 654 is 1
2. Where do I get the detailed procedure to find GCD of 177, 307, 690, 654?
You can find a detailed procedure to find GCD of 177, 307, 690, 654 on our page.
3. How to find GCD of 177, 307, 690, 654 on a calculator?
You can find the GCD of 177, 307, 690, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.