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 874, 722, 395, 914 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 722, 395, 914 is 1
GCD(874, 722, 395, 914) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 722, 395, 914 is 1
GCD(874, 722, 395, 914) = 1
Given Input numbers are 874, 722, 395, 914
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Greatest Common Divisior
We found the divisors of 874, 722, 395, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 722, 395, 914 is 1.
Therefore, GCD of numbers 874, 722, 395, 914 is 1
Given Input Data is 874, 722, 395, 914
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 395 is 5 x 79
Prime Factorization of 914 is 2 x 457
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(874, 722) = 16606
GCD(874, 722) = ( 874 x 722 ) / 16606
GCD(874, 722) = 631028 / 16606
GCD(874, 722) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 395) = 15010
GCD(38, 395) = ( 38 x 395 ) / 15010
GCD(38, 395) = 15010 / 15010
GCD(38, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
GCD of 874, 722, 395, 914 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 722, 395, 914?
GCD of 874, 722, 395, 914 is 1
2. Where do I get the detailed procedure to find GCD of 874, 722, 395, 914?
You can find a detailed procedure to find GCD of 874, 722, 395, 914 on our page.
3. How to find GCD of 874, 722, 395, 914 on a calculator?
You can find the GCD of 874, 722, 395, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.