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, 807, 765, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 807, 765, 201 is 1
GCD(172, 807, 765, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 807, 765, 201 is 1
GCD(172, 807, 765, 201) = 1
Given Input numbers are 172, 807, 765, 201
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 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 172, 807, 765, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 807, 765, 201 is 1.
Therefore, GCD of numbers 172, 807, 765, 201 is 1
Given Input Data is 172, 807, 765, 201
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 807 is 3 x 269
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 201 is 3 x 67
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, 807) = 138804
GCD(172, 807) = ( 172 x 807 ) / 138804
GCD(172, 807) = 138804 / 138804
GCD(172, 807) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
GCD of 172, 807, 765, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 807, 765, 201?
GCD of 172, 807, 765, 201 is 1
2. Where do I get the detailed procedure to find GCD of 172, 807, 765, 201?
You can find a detailed procedure to find GCD of 172, 807, 765, 201 on our page.
3. How to find GCD of 172, 807, 765, 201 on a calculator?
You can find the GCD of 172, 807, 765, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.