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 767, 874, 410, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 874, 410, 398 is 1
GCD(767, 874, 410, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 874, 410, 398 is 1
GCD(767, 874, 410, 398) = 1
Given Input numbers are 767, 874, 410, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
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 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 767, 874, 410, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 874, 410, 398 is 1.
Therefore, GCD of numbers 767, 874, 410, 398 is 1
Given Input Data is 767, 874, 410, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 398 is 2 x 199
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(767, 874) = 670358
GCD(767, 874) = ( 767 x 874 ) / 670358
GCD(767, 874) = 670358 / 670358
GCD(767, 874) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 767, 874, 410, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 874, 410, 398?
GCD of 767, 874, 410, 398 is 1
2. Where do I get the detailed procedure to find GCD of 767, 874, 410, 398?
You can find a detailed procedure to find GCD of 767, 874, 410, 398 on our page.
3. How to find GCD of 767, 874, 410, 398 on a calculator?
You can find the GCD of 767, 874, 410, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.