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 136, 560, 35, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 560, 35, 390 is 1
GCD(136, 560, 35, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 560, 35, 390 is 1
GCD(136, 560, 35, 390) = 1
Given Input numbers are 136, 560, 35, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 136, 560, 35, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 560, 35, 390 is 1.
Therefore, GCD of numbers 136, 560, 35, 390 is 1
Given Input Data is 136, 560, 35, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 35 is 5 x 7
Prime Factorization of 390 is 2 x 3 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(136, 560) = 9520
GCD(136, 560) = ( 136 x 560 ) / 9520
GCD(136, 560) = 76160 / 9520
GCD(136, 560) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 35) = 280
GCD(8, 35) = ( 8 x 35 ) / 280
GCD(8, 35) = 280 / 280
GCD(8, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 136, 560, 35, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 560, 35, 390?
GCD of 136, 560, 35, 390 is 1
2. Where do I get the detailed procedure to find GCD of 136, 560, 35, 390?
You can find a detailed procedure to find GCD of 136, 560, 35, 390 on our page.
3. How to find GCD of 136, 560, 35, 390 on a calculator?
You can find the GCD of 136, 560, 35, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.