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 920, 803, 243, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 803, 243, 374 is 1
GCD(920, 803, 243, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 803, 243, 374 is 1
GCD(920, 803, 243, 374) = 1
Given Input numbers are 920, 803, 243, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 920, 803, 243, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 803, 243, 374 is 1.
Therefore, GCD of numbers 920, 803, 243, 374 is 1
Given Input Data is 920, 803, 243, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 803 is 11 x 73
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 374 is 2 x 11 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(920, 803) = 738760
GCD(920, 803) = ( 920 x 803 ) / 738760
GCD(920, 803) = 738760 / 738760
GCD(920, 803) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 920, 803, 243, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 803, 243, 374?
GCD of 920, 803, 243, 374 is 1
2. Where do I get the detailed procedure to find GCD of 920, 803, 243, 374?
You can find a detailed procedure to find GCD of 920, 803, 243, 374 on our page.
3. How to find GCD of 920, 803, 243, 374 on a calculator?
You can find the GCD of 920, 803, 243, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.