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 898, 780, 65, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 898, 780, 65, 950 is 1
GCD(898, 780, 65, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 898, 780, 65, 950 is 1
GCD(898, 780, 65, 950) = 1
Given Input numbers are 898, 780, 65, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
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
Greatest Common Divisior
We found the divisors of 898, 780, 65, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 780, 65, 950 is 1.
Therefore, GCD of numbers 898, 780, 65, 950 is 1
Given Input Data is 898, 780, 65, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 898 is 2 x 449
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 65 is 5 x 13
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(898, 780) = 350220
GCD(898, 780) = ( 898 x 780 ) / 350220
GCD(898, 780) = 700440 / 350220
GCD(898, 780) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 898, 780, 65, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 898, 780, 65, 950?
GCD of 898, 780, 65, 950 is 1
2. Where do I get the detailed procedure to find GCD of 898, 780, 65, 950?
You can find a detailed procedure to find GCD of 898, 780, 65, 950 on our page.
3. How to find GCD of 898, 780, 65, 950 on a calculator?
You can find the GCD of 898, 780, 65, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.