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 747, 169, 34, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 169, 34, 875 is 1
GCD(747, 169, 34, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 169, 34, 875 is 1
GCD(747, 169, 34, 875) = 1
Given Input numbers are 747, 169, 34, 875
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 747, 169, 34, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 169, 34, 875 is 1.
Therefore, GCD of numbers 747, 169, 34, 875 is 1
Given Input Data is 747, 169, 34, 875
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 169 is 13 x 13
Prime Factorization of 34 is 2 x 17
Prime Factorization of 875 is 5 x 5 x 5 x 7
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(747, 169) = 126243
GCD(747, 169) = ( 747 x 169 ) / 126243
GCD(747, 169) = 126243 / 126243
GCD(747, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
GCD of 747, 169, 34, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 169, 34, 875?
GCD of 747, 169, 34, 875 is 1
2. Where do I get the detailed procedure to find GCD of 747, 169, 34, 875?
You can find a detailed procedure to find GCD of 747, 169, 34, 875 on our page.
3. How to find GCD of 747, 169, 34, 875 on a calculator?
You can find the GCD of 747, 169, 34, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.