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 91, 169, 875, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 169, 875, 745 is 1
GCD(91, 169, 875, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 169, 875, 745 is 1
GCD(91, 169, 875, 745) = 1
Given Input numbers are 91, 169, 875, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 91, 169, 875, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 169, 875, 745 is 1.
Therefore, GCD of numbers 91, 169, 875, 745 is 1
Given Input Data is 91, 169, 875, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 169 is 13 x 13
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 745 is 5 x 149
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(91, 169) = 1183
GCD(91, 169) = ( 91 x 169 ) / 1183
GCD(91, 169) = 15379 / 1183
GCD(91, 169) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 875) = 11375
GCD(13, 875) = ( 13 x 875 ) / 11375
GCD(13, 875) = 11375 / 11375
GCD(13, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 91, 169, 875, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 169, 875, 745?
GCD of 91, 169, 875, 745 is 1
2. Where do I get the detailed procedure to find GCD of 91, 169, 875, 745?
You can find a detailed procedure to find GCD of 91, 169, 875, 745 on our page.
3. How to find GCD of 91, 169, 875, 745 on a calculator?
You can find the GCD of 91, 169, 875, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.