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 658, 245, 683, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 245, 683, 167 is 1
GCD(658, 245, 683, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 245, 683, 167 is 1
GCD(658, 245, 683, 167) = 1
Given Input numbers are 658, 245, 683, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
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 658, 245, 683, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 245, 683, 167 is 1.
Therefore, GCD of numbers 658, 245, 683, 167 is 1
Given Input Data is 658, 245, 683, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 683 is 683
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(658, 245) = 23030
GCD(658, 245) = ( 658 x 245 ) / 23030
GCD(658, 245) = 161210 / 23030
GCD(658, 245) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 683) = 4781
GCD(7, 683) = ( 7 x 683 ) / 4781
GCD(7, 683) = 4781 / 4781
GCD(7, 683) = 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 658, 245, 683, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 245, 683, 167?
GCD of 658, 245, 683, 167 is 1
2. Where do I get the detailed procedure to find GCD of 658, 245, 683, 167?
You can find a detailed procedure to find GCD of 658, 245, 683, 167 on our page.
3. How to find GCD of 658, 245, 683, 167 on a calculator?
You can find the GCD of 658, 245, 683, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.