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, 901, 99, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 901, 99, 269 is 1
GCD(957, 901, 99, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 901, 99, 269 is 1
GCD(957, 901, 99, 269) = 1
Given Input numbers are 957, 901, 99, 269
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 957, 901, 99, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 901, 99, 269 is 1.
Therefore, GCD of numbers 957, 901, 99, 269 is 1
Given Input Data is 957, 901, 99, 269
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 901 is 17 x 53
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 269 is 269
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, 901) = 862257
GCD(957, 901) = ( 957 x 901 ) / 862257
GCD(957, 901) = 862257 / 862257
GCD(957, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
GCD of 957, 901, 99, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 901, 99, 269?
GCD of 957, 901, 99, 269 is 1
2. Where do I get the detailed procedure to find GCD of 957, 901, 99, 269?
You can find a detailed procedure to find GCD of 957, 901, 99, 269 on our page.
3. How to find GCD of 957, 901, 99, 269 on a calculator?
You can find the GCD of 957, 901, 99, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.