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, 699, 959, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 699, 959, 411 is 1
GCD(874, 699, 959, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 699, 959, 411 is 1
GCD(874, 699, 959, 411) = 1
Given Input numbers are 874, 699, 959, 411
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 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 874, 699, 959, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 699, 959, 411 is 1.
Therefore, GCD of numbers 874, 699, 959, 411 is 1
Given Input Data is 874, 699, 959, 411
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 699 is 3 x 233
Prime Factorization of 959 is 7 x 137
Prime Factorization of 411 is 3 x 137
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, 699) = 610926
GCD(874, 699) = ( 874 x 699 ) / 610926
GCD(874, 699) = 610926 / 610926
GCD(874, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 874, 699, 959, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 699, 959, 411?
GCD of 874, 699, 959, 411 is 1
2. Where do I get the detailed procedure to find GCD of 874, 699, 959, 411?
You can find a detailed procedure to find GCD of 874, 699, 959, 411 on our page.
3. How to find GCD of 874, 699, 959, 411 on a calculator?
You can find the GCD of 874, 699, 959, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.