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, 698, 581, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 698, 581, 274 is 1
GCD(177, 698, 581, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 698, 581, 274 is 1
GCD(177, 698, 581, 274) = 1
Given Input numbers are 177, 698, 581, 274
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 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 177, 698, 581, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 698, 581, 274 is 1.
Therefore, GCD of numbers 177, 698, 581, 274 is 1
Given Input Data is 177, 698, 581, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 698 is 2 x 349
Prime Factorization of 581 is 7 x 83
Prime Factorization of 274 is 2 x 137
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, 698) = 123546
GCD(177, 698) = ( 177 x 698 ) / 123546
GCD(177, 698) = 123546 / 123546
GCD(177, 698) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 581) = 581
GCD(1, 581) = ( 1 x 581 ) / 581
GCD(1, 581) = 581 / 581
GCD(1, 581) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 177, 698, 581, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 698, 581, 274?
GCD of 177, 698, 581, 274 is 1
2. Where do I get the detailed procedure to find GCD of 177, 698, 581, 274?
You can find a detailed procedure to find GCD of 177, 698, 581, 274 on our page.
3. How to find GCD of 177, 698, 581, 274 on a calculator?
You can find the GCD of 177, 698, 581, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.