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 492, 709, 63, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 709, 63, 177 is 1
GCD(492, 709, 63, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 709, 63, 177 is 1
GCD(492, 709, 63, 177) = 1
Given Input numbers are 492, 709, 63, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
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 492, 709, 63, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 709, 63, 177 is 1.
Therefore, GCD of numbers 492, 709, 63, 177 is 1
Given Input Data is 492, 709, 63, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 709 is 709
Prime Factorization of 63 is 3 x 3 x 7
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(492, 709) = 348828
GCD(492, 709) = ( 492 x 709 ) / 348828
GCD(492, 709) = 348828 / 348828
GCD(492, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 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 492, 709, 63, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 709, 63, 177?
GCD of 492, 709, 63, 177 is 1
2. Where do I get the detailed procedure to find GCD of 492, 709, 63, 177?
You can find a detailed procedure to find GCD of 492, 709, 63, 177 on our page.
3. How to find GCD of 492, 709, 63, 177 on a calculator?
You can find the GCD of 492, 709, 63, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.