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 975, 773, 174, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 773, 174, 847 is 1
GCD(975, 773, 174, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 773, 174, 847 is 1
GCD(975, 773, 174, 847) = 1
Given Input numbers are 975, 773, 174, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 975, 773, 174, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 773, 174, 847 is 1.
Therefore, GCD of numbers 975, 773, 174, 847 is 1
Given Input Data is 975, 773, 174, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 773 is 773
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 847 is 7 x 11 x 11
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(975, 773) = 753675
GCD(975, 773) = ( 975 x 773 ) / 753675
GCD(975, 773) = 753675 / 753675
GCD(975, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 975, 773, 174, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 773, 174, 847?
GCD of 975, 773, 174, 847 is 1
2. Where do I get the detailed procedure to find GCD of 975, 773, 174, 847?
You can find a detailed procedure to find GCD of 975, 773, 174, 847 on our page.
3. How to find GCD of 975, 773, 174, 847 on a calculator?
You can find the GCD of 975, 773, 174, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.