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 172, 947, 746, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 947, 746, 704 is 1
GCD(172, 947, 746, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 947, 746, 704 is 1
GCD(172, 947, 746, 704) = 1
Given Input numbers are 172, 947, 746, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 172, 947, 746, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 947, 746, 704 is 1.
Therefore, GCD of numbers 172, 947, 746, 704 is 1
Given Input Data is 172, 947, 746, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 947 is 947
Prime Factorization of 746 is 2 x 373
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(172, 947) = 162884
GCD(172, 947) = ( 172 x 947 ) / 162884
GCD(172, 947) = 162884 / 162884
GCD(172, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 172, 947, 746, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 947, 746, 704?
GCD of 172, 947, 746, 704 is 1
2. Where do I get the detailed procedure to find GCD of 172, 947, 746, 704?
You can find a detailed procedure to find GCD of 172, 947, 746, 704 on our page.
3. How to find GCD of 172, 947, 746, 704 on a calculator?
You can find the GCD of 172, 947, 746, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.