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 969, 950, 80, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 950, 80, 629 is 1
GCD(969, 950, 80, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 950, 80, 629 is 1
GCD(969, 950, 80, 629) = 1
Given Input numbers are 969, 950, 80, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 969, 950, 80, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 950, 80, 629 is 1.
Therefore, GCD of numbers 969, 950, 80, 629 is 1
Given Input Data is 969, 950, 80, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 629 is 17 x 37
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(969, 950) = 48450
GCD(969, 950) = ( 969 x 950 ) / 48450
GCD(969, 950) = 920550 / 48450
GCD(969, 950) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 80) = 1520
GCD(19, 80) = ( 19 x 80 ) / 1520
GCD(19, 80) = 1520 / 1520
GCD(19, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 969, 950, 80, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 950, 80, 629?
GCD of 969, 950, 80, 629 is 1
2. Where do I get the detailed procedure to find GCD of 969, 950, 80, 629?
You can find a detailed procedure to find GCD of 969, 950, 80, 629 on our page.
3. How to find GCD of 969, 950, 80, 629 on a calculator?
You can find the GCD of 969, 950, 80, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.