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, 260, 845, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 260, 845, 870 is 1
GCD(136, 260, 845, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 260, 845, 870 is 1
GCD(136, 260, 845, 870) = 1
Given Input numbers are 136, 260, 845, 870
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 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 136, 260, 845, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 260, 845, 870 is 1.
Therefore, GCD of numbers 136, 260, 845, 870 is 1
Given Input Data is 136, 260, 845, 870
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 260 is 2 x 2 x 5 x 13
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 870 is 2 x 3 x 5 x 29
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, 260) = 8840
GCD(136, 260) = ( 136 x 260 ) / 8840
GCD(136, 260) = 35360 / 8840
GCD(136, 260) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 845) = 3380
GCD(4, 845) = ( 4 x 845 ) / 3380
GCD(4, 845) = 3380 / 3380
GCD(4, 845) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
GCD of 136, 260, 845, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 260, 845, 870?
GCD of 136, 260, 845, 870 is 1
2. Where do I get the detailed procedure to find GCD of 136, 260, 845, 870?
You can find a detailed procedure to find GCD of 136, 260, 845, 870 on our page.
3. How to find GCD of 136, 260, 845, 870 on a calculator?
You can find the GCD of 136, 260, 845, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.