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, 356, 80, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 356, 80, 849 is 1
GCD(172, 356, 80, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 356, 80, 849 is 1
GCD(172, 356, 80, 849) = 1
Given Input numbers are 172, 356, 80, 849
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 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 172, 356, 80, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 356, 80, 849 is 1.
Therefore, GCD of numbers 172, 356, 80, 849 is 1
Given Input Data is 172, 356, 80, 849
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 356 is 2 x 2 x 89
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 849 is 3 x 283
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, 356) = 15308
GCD(172, 356) = ( 172 x 356 ) / 15308
GCD(172, 356) = 61232 / 15308
GCD(172, 356) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 80) = 80
GCD(4, 80) = ( 4 x 80 ) / 80
GCD(4, 80) = 320 / 80
GCD(4, 80) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 849) = 3396
GCD(4, 849) = ( 4 x 849 ) / 3396
GCD(4, 849) = 3396 / 3396
GCD(4, 849) = 1
GCD of 172, 356, 80, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 356, 80, 849?
GCD of 172, 356, 80, 849 is 1
2. Where do I get the detailed procedure to find GCD of 172, 356, 80, 849?
You can find a detailed procedure to find GCD of 172, 356, 80, 849 on our page.
3. How to find GCD of 172, 356, 80, 849 on a calculator?
You can find the GCD of 172, 356, 80, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.