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 371, 764, 169, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 764, 169, 675 is 1
GCD(371, 764, 169, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 764, 169, 675 is 1
GCD(371, 764, 169, 675) = 1
Given Input numbers are 371, 764, 169, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 371, 764, 169, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 764, 169, 675 is 1.
Therefore, GCD of numbers 371, 764, 169, 675 is 1
Given Input Data is 371, 764, 169, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 169 is 13 x 13
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(371, 764) = 283444
GCD(371, 764) = ( 371 x 764 ) / 283444
GCD(371, 764) = 283444 / 283444
GCD(371, 764) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 371, 764, 169, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 764, 169, 675?
GCD of 371, 764, 169, 675 is 1
2. Where do I get the detailed procedure to find GCD of 371, 764, 169, 675?
You can find a detailed procedure to find GCD of 371, 764, 169, 675 on our page.
3. How to find GCD of 371, 764, 169, 675 on a calculator?
You can find the GCD of 371, 764, 169, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.