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 370, 849, 14, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 849, 14, 130 is 1
GCD(370, 849, 14, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 849, 14, 130 is 1
GCD(370, 849, 14, 130) = 1
Given Input numbers are 370, 849, 14, 130
To find the GCD of numbers using factoring list out all the divisors of each number
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 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 370, 849, 14, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 849, 14, 130 is 1.
Therefore, GCD of numbers 370, 849, 14, 130 is 1
Given Input Data is 370, 849, 14, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 849 is 3 x 283
Prime Factorization of 14 is 2 x 7
Prime Factorization of 130 is 2 x 5 x 13
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(370, 849) = 314130
GCD(370, 849) = ( 370 x 849 ) / 314130
GCD(370, 849) = 314130 / 314130
GCD(370, 849) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 370, 849, 14, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 849, 14, 130?
GCD of 370, 849, 14, 130 is 1
2. Where do I get the detailed procedure to find GCD of 370, 849, 14, 130?
You can find a detailed procedure to find GCD of 370, 849, 14, 130 on our page.
3. How to find GCD of 370, 849, 14, 130 on a calculator?
You can find the GCD of 370, 849, 14, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.