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 760, 477, 38, 190 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 477, 38, 190 is 1
GCD(760, 477, 38, 190) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 477, 38, 190 is 1
GCD(760, 477, 38, 190) = 1
Given Input numbers are 760, 477, 38, 190
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Greatest Common Divisior
We found the divisors of 760, 477, 38, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 477, 38, 190 is 1.
Therefore, GCD of numbers 760, 477, 38, 190 is 1
Given Input Data is 760, 477, 38, 190
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 38 is 2 x 19
Prime Factorization of 190 is 2 x 5 x 19
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(760, 477) = 362520
GCD(760, 477) = ( 760 x 477 ) / 362520
GCD(760, 477) = 362520 / 362520
GCD(760, 477) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
GCD of 760, 477, 38, 190 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 477, 38, 190?
GCD of 760, 477, 38, 190 is 1
2. Where do I get the detailed procedure to find GCD of 760, 477, 38, 190?
You can find a detailed procedure to find GCD of 760, 477, 38, 190 on our page.
3. How to find GCD of 760, 477, 38, 190 on a calculator?
You can find the GCD of 760, 477, 38, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.