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 961, 625, 834, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 625, 834, 920 is 1
GCD(961, 625, 834, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 625, 834, 920 is 1
GCD(961, 625, 834, 920) = 1
Given Input numbers are 961, 625, 834, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 961, 625, 834, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 625, 834, 920 is 1.
Therefore, GCD of numbers 961, 625, 834, 920 is 1
Given Input Data is 961, 625, 834, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(961, 625) = 600625
GCD(961, 625) = ( 961 x 625 ) / 600625
GCD(961, 625) = 600625 / 600625
GCD(961, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 961, 625, 834, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 625, 834, 920?
GCD of 961, 625, 834, 920 is 1
2. Where do I get the detailed procedure to find GCD of 961, 625, 834, 920?
You can find a detailed procedure to find GCD of 961, 625, 834, 920 on our page.
3. How to find GCD of 961, 625, 834, 920 on a calculator?
You can find the GCD of 961, 625, 834, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.