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 757, 387, 119, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 387, 119, 199 is 1
GCD(757, 387, 119, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 387, 119, 199 is 1
GCD(757, 387, 119, 199) = 1
Given Input numbers are 757, 387, 119, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 757, 387, 119, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 387, 119, 199 is 1.
Therefore, GCD of numbers 757, 387, 119, 199 is 1
Given Input Data is 757, 387, 119, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 119 is 7 x 17
Prime Factorization of 199 is 199
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(757, 387) = 292959
GCD(757, 387) = ( 757 x 387 ) / 292959
GCD(757, 387) = 292959 / 292959
GCD(757, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 757, 387, 119, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 387, 119, 199?
GCD of 757, 387, 119, 199 is 1
2. Where do I get the detailed procedure to find GCD of 757, 387, 119, 199?
You can find a detailed procedure to find GCD of 757, 387, 119, 199 on our page.
3. How to find GCD of 757, 387, 119, 199 on a calculator?
You can find the GCD of 757, 387, 119, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.