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 371, 693, 157, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 693, 157, 143 is 1
GCD(371, 693, 157, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 693, 157, 143 is 1
GCD(371, 693, 157, 143) = 1
Given Input numbers are 371, 693, 157, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
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
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 371, 693, 157, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 693, 157, 143 is 1.
Therefore, GCD of numbers 371, 693, 157, 143 is 1
Given Input Data is 371, 693, 157, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 157 is 157
Prime Factorization of 143 is 11 x 13
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(371, 693) = 36729
GCD(371, 693) = ( 371 x 693 ) / 36729
GCD(371, 693) = 257103 / 36729
GCD(371, 693) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 157) = 1099
GCD(7, 157) = ( 7 x 157 ) / 1099
GCD(7, 157) = 1099 / 1099
GCD(7, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 371, 693, 157, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 693, 157, 143?
GCD of 371, 693, 157, 143 is 1
2. Where do I get the detailed procedure to find GCD of 371, 693, 157, 143?
You can find a detailed procedure to find GCD of 371, 693, 157, 143 on our page.
3. How to find GCD of 371, 693, 157, 143 on a calculator?
You can find the GCD of 371, 693, 157, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.