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 877, 907, 16, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 877, 907, 16, 172 is 1
GCD(877, 907, 16, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 877, 907, 16, 172 is 1
GCD(877, 907, 16, 172) = 1
Given Input numbers are 877, 907, 16, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 877, 907, 16, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 877, 907, 16, 172 is 1.
Therefore, GCD of numbers 877, 907, 16, 172 is 1
Given Input Data is 877, 907, 16, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 877 is 877
Prime Factorization of 907 is 907
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 172 is 2 x 2 x 43
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(877, 907) = 795439
GCD(877, 907) = ( 877 x 907 ) / 795439
GCD(877, 907) = 795439 / 795439
GCD(877, 907) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 877, 907, 16, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 877, 907, 16, 172?
GCD of 877, 907, 16, 172 is 1
2. Where do I get the detailed procedure to find GCD of 877, 907, 16, 172?
You can find a detailed procedure to find GCD of 877, 907, 16, 172 on our page.
3. How to find GCD of 877, 907, 16, 172 on a calculator?
You can find the GCD of 877, 907, 16, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.