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 375, 783, 820, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 783, 820, 741 is 1
GCD(375, 783, 820, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 783, 820, 741 is 1
GCD(375, 783, 820, 741) = 1
Given Input numbers are 375, 783, 820, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 375, 783, 820, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 783, 820, 741 is 1.
Therefore, GCD of numbers 375, 783, 820, 741 is 1
Given Input Data is 375, 783, 820, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 741 is 3 x 13 x 19
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(375, 783) = 97875
GCD(375, 783) = ( 375 x 783 ) / 97875
GCD(375, 783) = 293625 / 97875
GCD(375, 783) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 820) = 2460
GCD(3, 820) = ( 3 x 820 ) / 2460
GCD(3, 820) = 2460 / 2460
GCD(3, 820) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 375, 783, 820, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 783, 820, 741?
GCD of 375, 783, 820, 741 is 1
2. Where do I get the detailed procedure to find GCD of 375, 783, 820, 741?
You can find a detailed procedure to find GCD of 375, 783, 820, 741 on our page.
3. How to find GCD of 375, 783, 820, 741 on a calculator?
You can find the GCD of 375, 783, 820, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.