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 168, 770, 23, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 770, 23, 292 is 1
GCD(168, 770, 23, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 770, 23, 292 is 1
GCD(168, 770, 23, 292) = 1
Given Input numbers are 168, 770, 23, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 168, 770, 23, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 770, 23, 292 is 1.
Therefore, GCD of numbers 168, 770, 23, 292 is 1
Given Input Data is 168, 770, 23, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 23 is 23
Prime Factorization of 292 is 2 x 2 x 73
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(168, 770) = 9240
GCD(168, 770) = ( 168 x 770 ) / 9240
GCD(168, 770) = 129360 / 9240
GCD(168, 770) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 23) = 322
GCD(14, 23) = ( 14 x 23 ) / 322
GCD(14, 23) = 322 / 322
GCD(14, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 168, 770, 23, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 770, 23, 292?
GCD of 168, 770, 23, 292 is 1
2. Where do I get the detailed procedure to find GCD of 168, 770, 23, 292?
You can find a detailed procedure to find GCD of 168, 770, 23, 292 on our page.
3. How to find GCD of 168, 770, 23, 292 on a calculator?
You can find the GCD of 168, 770, 23, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.