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 35, 209, 633, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 209, 633, 177 is 1
GCD(35, 209, 633, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 209, 633, 177 is 1
GCD(35, 209, 633, 177) = 1
Given Input numbers are 35, 209, 633, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 35, 209, 633, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 209, 633, 177 is 1.
Therefore, GCD of numbers 35, 209, 633, 177 is 1
Given Input Data is 35, 209, 633, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 209 is 11 x 19
Prime Factorization of 633 is 3 x 211
Prime Factorization of 177 is 3 x 59
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(35, 209) = 7315
GCD(35, 209) = ( 35 x 209 ) / 7315
GCD(35, 209) = 7315 / 7315
GCD(35, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 35, 209, 633, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 209, 633, 177?
GCD of 35, 209, 633, 177 is 1
2. Where do I get the detailed procedure to find GCD of 35, 209, 633, 177?
You can find a detailed procedure to find GCD of 35, 209, 633, 177 on our page.
3. How to find GCD of 35, 209, 633, 177 on a calculator?
You can find the GCD of 35, 209, 633, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.