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 699, 378, 741, 741 i.e. 3 largest integer that divides all the numbers equally.
GCD of 699, 378, 741, 741 is 3
GCD(699, 378, 741, 741) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 378, 741, 741 is 3
GCD(699, 378, 741, 741) = 3
Given Input numbers are 699, 378, 741, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
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 699, 378, 741, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 378, 741, 741 is 3.
Therefore, GCD of numbers 699, 378, 741, 741 is 3
Given Input Data is 699, 378, 741, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 741 is 3 x 13 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(699, 378) = 88074
GCD(699, 378) = ( 699 x 378 ) / 88074
GCD(699, 378) = 264222 / 88074
GCD(699, 378) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
GCD(3, 741) = 2223 / 741
GCD(3, 741) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
GCD(3, 741) = 2223 / 741
GCD(3, 741) = 3
GCD of 699, 378, 741, 741 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 378, 741, 741?
GCD of 699, 378, 741, 741 is 3
2. Where do I get the detailed procedure to find GCD of 699, 378, 741, 741?
You can find a detailed procedure to find GCD of 699, 378, 741, 741 on our page.
3. How to find GCD of 699, 378, 741, 741 on a calculator?
You can find the GCD of 699, 378, 741, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.