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 378, 770, 24, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 770, 24, 491 is 1
GCD(378, 770, 24, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 770, 24, 491 is 1
GCD(378, 770, 24, 491) = 1
Given Input numbers are 378, 770, 24, 491
To find the GCD of numbers using factoring list out all the divisors of each number
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 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 378, 770, 24, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 770, 24, 491 is 1.
Therefore, GCD of numbers 378, 770, 24, 491 is 1
Given Input Data is 378, 770, 24, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 491 is 491
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(378, 770) = 20790
GCD(378, 770) = ( 378 x 770 ) / 20790
GCD(378, 770) = 291060 / 20790
GCD(378, 770) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 24) = 168
GCD(14, 24) = ( 14 x 24 ) / 168
GCD(14, 24) = 336 / 168
GCD(14, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 491) = 982
GCD(2, 491) = ( 2 x 491 ) / 982
GCD(2, 491) = 982 / 982
GCD(2, 491) = 1
GCD of 378, 770, 24, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 770, 24, 491?
GCD of 378, 770, 24, 491 is 1
2. Where do I get the detailed procedure to find GCD of 378, 770, 24, 491?
You can find a detailed procedure to find GCD of 378, 770, 24, 491 on our page.
3. How to find GCD of 378, 770, 24, 491 on a calculator?
You can find the GCD of 378, 770, 24, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.