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 849, 930, 370, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 849, 930, 370, 753 is 1
GCD(849, 930, 370, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 930, 370, 753 is 1
GCD(849, 930, 370, 753) = 1
Given Input numbers are 849, 930, 370, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 849, 930, 370, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 930, 370, 753 is 1.
Therefore, GCD of numbers 849, 930, 370, 753 is 1
Given Input Data is 849, 930, 370, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 753 is 3 x 251
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(849, 930) = 263190
GCD(849, 930) = ( 849 x 930 ) / 263190
GCD(849, 930) = 789570 / 263190
GCD(849, 930) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 370) = 1110
GCD(3, 370) = ( 3 x 370 ) / 1110
GCD(3, 370) = 1110 / 1110
GCD(3, 370) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 849, 930, 370, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 930, 370, 753?
GCD of 849, 930, 370, 753 is 1
2. Where do I get the detailed procedure to find GCD of 849, 930, 370, 753?
You can find a detailed procedure to find GCD of 849, 930, 370, 753 on our page.
3. How to find GCD of 849, 930, 370, 753 on a calculator?
You can find the GCD of 849, 930, 370, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.