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 707, 909, 305, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 909, 305, 167 is 1
GCD(707, 909, 305, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 909, 305, 167 is 1
GCD(707, 909, 305, 167) = 1
Given Input numbers are 707, 909, 305, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 707, 909, 305, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 909, 305, 167 is 1.
Therefore, GCD of numbers 707, 909, 305, 167 is 1
Given Input Data is 707, 909, 305, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 305 is 5 x 61
Prime Factorization of 167 is 167
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(707, 909) = 6363
GCD(707, 909) = ( 707 x 909 ) / 6363
GCD(707, 909) = 642663 / 6363
GCD(707, 909) = 101
Step2:
Here we consider the GCD from the above i.e. 101 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(101, 305) = 30805
GCD(101, 305) = ( 101 x 305 ) / 30805
GCD(101, 305) = 30805 / 30805
GCD(101, 305) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 707, 909, 305, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 909, 305, 167?
GCD of 707, 909, 305, 167 is 1
2. Where do I get the detailed procedure to find GCD of 707, 909, 305, 167?
You can find a detailed procedure to find GCD of 707, 909, 305, 167 on our page.
3. How to find GCD of 707, 909, 305, 167 on a calculator?
You can find the GCD of 707, 909, 305, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.