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, 438, 413, 206 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 438, 413, 206 is 1
GCD(760, 438, 413, 206) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 438, 413, 206 is 1
GCD(760, 438, 413, 206) = 1
Given Input numbers are 760, 438, 413, 206
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Greatest Common Divisior
We found the divisors of 760, 438, 413, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 438, 413, 206 is 1.
Therefore, GCD of numbers 760, 438, 413, 206 is 1
Given Input Data is 760, 438, 413, 206
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 438 is 2 x 3 x 73
Prime Factorization of 413 is 7 x 59
Prime Factorization of 206 is 2 x 103
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, 438) = 166440
GCD(760, 438) = ( 760 x 438 ) / 166440
GCD(760, 438) = 332880 / 166440
GCD(760, 438) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
GCD(2, 413) = 826 / 826
GCD(2, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
GCD of 760, 438, 413, 206 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 438, 413, 206?
GCD of 760, 438, 413, 206 is 1
2. Where do I get the detailed procedure to find GCD of 760, 438, 413, 206?
You can find a detailed procedure to find GCD of 760, 438, 413, 206 on our page.
3. How to find GCD of 760, 438, 413, 206 on a calculator?
You can find the GCD of 760, 438, 413, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.