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 745, 836, 167, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 836, 167, 517 is 1
GCD(745, 836, 167, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 836, 167, 517 is 1
GCD(745, 836, 167, 517) = 1
Given Input numbers are 745, 836, 167, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 745, 836, 167, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 836, 167, 517 is 1.
Therefore, GCD of numbers 745, 836, 167, 517 is 1
Given Input Data is 745, 836, 167, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 167 is 167
Prime Factorization of 517 is 11 x 47
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(745, 836) = 622820
GCD(745, 836) = ( 745 x 836 ) / 622820
GCD(745, 836) = 622820 / 622820
GCD(745, 836) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 745, 836, 167, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 836, 167, 517?
GCD of 745, 836, 167, 517 is 1
2. Where do I get the detailed procedure to find GCD of 745, 836, 167, 517?
You can find a detailed procedure to find GCD of 745, 836, 167, 517 on our page.
3. How to find GCD of 745, 836, 167, 517 on a calculator?
You can find the GCD of 745, 836, 167, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.