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 947, 187, 21, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 947, 187, 21, 357 is 1
GCD(947, 187, 21, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 947, 187, 21, 357 is 1
GCD(947, 187, 21, 357) = 1
Given Input numbers are 947, 187, 21, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 947, 187, 21, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 187, 21, 357 is 1.
Therefore, GCD of numbers 947, 187, 21, 357 is 1
Given Input Data is 947, 187, 21, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 947 is 947
Prime Factorization of 187 is 11 x 17
Prime Factorization of 21 is 3 x 7
Prime Factorization of 357 is 3 x 7 x 17
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(947, 187) = 177089
GCD(947, 187) = ( 947 x 187 ) / 177089
GCD(947, 187) = 177089 / 177089
GCD(947, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 947, 187, 21, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 947, 187, 21, 357?
GCD of 947, 187, 21, 357 is 1
2. Where do I get the detailed procedure to find GCD of 947, 187, 21, 357?
You can find a detailed procedure to find GCD of 947, 187, 21, 357 on our page.
3. How to find GCD of 947, 187, 21, 357 on a calculator?
You can find the GCD of 947, 187, 21, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.