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, 805, 352, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 805, 352, 472 is 1
GCD(959, 805, 352, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 805, 352, 472 is 1
GCD(959, 805, 352, 472) = 1
Given Input numbers are 959, 805, 352, 472
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 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 959, 805, 352, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 805, 352, 472 is 1.
Therefore, GCD of numbers 959, 805, 352, 472 is 1
Given Input Data is 959, 805, 352, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 472 is 2 x 2 x 2 x 59
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, 805) = 110285
GCD(959, 805) = ( 959 x 805 ) / 110285
GCD(959, 805) = 771995 / 110285
GCD(959, 805) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 352) = 2464
GCD(7, 352) = ( 7 x 352 ) / 2464
GCD(7, 352) = 2464 / 2464
GCD(7, 352) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 959, 805, 352, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 805, 352, 472?
GCD of 959, 805, 352, 472 is 1
2. Where do I get the detailed procedure to find GCD of 959, 805, 352, 472?
You can find a detailed procedure to find GCD of 959, 805, 352, 472 on our page.
3. How to find GCD of 959, 805, 352, 472 on a calculator?
You can find the GCD of 959, 805, 352, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.