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 959, 149, 257, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 149, 257, 693 is 1
GCD(959, 149, 257, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 149, 257, 693 is 1
GCD(959, 149, 257, 693) = 1
Given Input numbers are 959, 149, 257, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 959, 149, 257, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 149, 257, 693 is 1.
Therefore, GCD of numbers 959, 149, 257, 693 is 1
Given Input Data is 959, 149, 257, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 149 is 149
Prime Factorization of 257 is 257
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(959, 149) = 142891
GCD(959, 149) = ( 959 x 149 ) / 142891
GCD(959, 149) = 142891 / 142891
GCD(959, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 959, 149, 257, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 149, 257, 693?
GCD of 959, 149, 257, 693 is 1
2. Where do I get the detailed procedure to find GCD of 959, 149, 257, 693?
You can find a detailed procedure to find GCD of 959, 149, 257, 693 on our page.
3. How to find GCD of 959, 149, 257, 693 on a calculator?
You can find the GCD of 959, 149, 257, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.