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 880, 835, 659, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 835, 659, 957 is 1
GCD(880, 835, 659, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 835, 659, 957 is 1
GCD(880, 835, 659, 957) = 1
Given Input numbers are 880, 835, 659, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 880, 835, 659, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 835, 659, 957 is 1.
Therefore, GCD of numbers 880, 835, 659, 957 is 1
Given Input Data is 880, 835, 659, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 835 is 5 x 167
Prime Factorization of 659 is 659
Prime Factorization of 957 is 3 x 11 x 29
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(880, 835) = 146960
GCD(880, 835) = ( 880 x 835 ) / 146960
GCD(880, 835) = 734800 / 146960
GCD(880, 835) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 659) = 3295
GCD(5, 659) = ( 5 x 659 ) / 3295
GCD(5, 659) = 3295 / 3295
GCD(5, 659) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
GCD(1, 957) = 957 / 957
GCD(1, 957) = 1
GCD of 880, 835, 659, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 835, 659, 957?
GCD of 880, 835, 659, 957 is 1
2. Where do I get the detailed procedure to find GCD of 880, 835, 659, 957?
You can find a detailed procedure to find GCD of 880, 835, 659, 957 on our page.
3. How to find GCD of 880, 835, 659, 957 on a calculator?
You can find the GCD of 880, 835, 659, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.