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 736, 438, 70, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 438, 70, 205 is 1
GCD(736, 438, 70, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 438, 70, 205 is 1
GCD(736, 438, 70, 205) = 1
Given Input numbers are 736, 438, 70, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 736, 438, 70, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 438, 70, 205 is 1.
Therefore, GCD of numbers 736, 438, 70, 205 is 1
Given Input Data is 736, 438, 70, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 205 is 5 x 41
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(736, 438) = 161184
GCD(736, 438) = ( 736 x 438 ) / 161184
GCD(736, 438) = 322368 / 161184
GCD(736, 438) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
GCD(2, 70) = 140 / 70
GCD(2, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 205) = 410
GCD(2, 205) = ( 2 x 205 ) / 410
GCD(2, 205) = 410 / 410
GCD(2, 205) = 1
GCD of 736, 438, 70, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 438, 70, 205?
GCD of 736, 438, 70, 205 is 1
2. Where do I get the detailed procedure to find GCD of 736, 438, 70, 205?
You can find a detailed procedure to find GCD of 736, 438, 70, 205 on our page.
3. How to find GCD of 736, 438, 70, 205 on a calculator?
You can find the GCD of 736, 438, 70, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.