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 957, 869, 844, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 869, 844, 953 is 1
GCD(957, 869, 844, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 869, 844, 953 is 1
GCD(957, 869, 844, 953) = 1
Given Input numbers are 957, 869, 844, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 957, 869, 844, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 869, 844, 953 is 1.
Therefore, GCD of numbers 957, 869, 844, 953 is 1
Given Input Data is 957, 869, 844, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 869 is 11 x 79
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 953 is 953
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(957, 869) = 75603
GCD(957, 869) = ( 957 x 869 ) / 75603
GCD(957, 869) = 831633 / 75603
GCD(957, 869) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 844) = 9284
GCD(11, 844) = ( 11 x 844 ) / 9284
GCD(11, 844) = 9284 / 9284
GCD(11, 844) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 957, 869, 844, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 869, 844, 953?
GCD of 957, 869, 844, 953 is 1
2. Where do I get the detailed procedure to find GCD of 957, 869, 844, 953?
You can find a detailed procedure to find GCD of 957, 869, 844, 953 on our page.
3. How to find GCD of 957, 869, 844, 953 on a calculator?
You can find the GCD of 957, 869, 844, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.