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 943, 460, 117, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 943, 460, 117, 177 is 1
GCD(943, 460, 117, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 943, 460, 117, 177 is 1
GCD(943, 460, 117, 177) = 1
Given Input numbers are 943, 460, 117, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 943, 460, 117, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 460, 117, 177 is 1.
Therefore, GCD of numbers 943, 460, 117, 177 is 1
Given Input Data is 943, 460, 117, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 943 is 23 x 41
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 177 is 3 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(943, 460) = 18860
GCD(943, 460) = ( 943 x 460 ) / 18860
GCD(943, 460) = 433780 / 18860
GCD(943, 460) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 117) = 2691
GCD(23, 117) = ( 23 x 117 ) / 2691
GCD(23, 117) = 2691 / 2691
GCD(23, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 943, 460, 117, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 943, 460, 117, 177?
GCD of 943, 460, 117, 177 is 1
2. Where do I get the detailed procedure to find GCD of 943, 460, 117, 177?
You can find a detailed procedure to find GCD of 943, 460, 117, 177 on our page.
3. How to find GCD of 943, 460, 117, 177 on a calculator?
You can find the GCD of 943, 460, 117, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.