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 519, 841, 14, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 519, 841, 14, 967 is 1
GCD(519, 841, 14, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 519, 841, 14, 967 is 1
GCD(519, 841, 14, 967) = 1
Given Input numbers are 519, 841, 14, 967
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 519, 841, 14, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 841, 14, 967 is 1.
Therefore, GCD of numbers 519, 841, 14, 967 is 1
Given Input Data is 519, 841, 14, 967
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 519 is 3 x 173
Prime Factorization of 841 is 29 x 29
Prime Factorization of 14 is 2 x 7
Prime Factorization of 967 is 967
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(519, 841) = 436479
GCD(519, 841) = ( 519 x 841 ) / 436479
GCD(519, 841) = 436479 / 436479
GCD(519, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
GCD of 519, 841, 14, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 519, 841, 14, 967?
GCD of 519, 841, 14, 967 is 1
2. Where do I get the detailed procedure to find GCD of 519, 841, 14, 967?
You can find a detailed procedure to find GCD of 519, 841, 14, 967 on our page.
3. How to find GCD of 519, 841, 14, 967 on a calculator?
You can find the GCD of 519, 841, 14, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.