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 870, 149, 122, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 149, 122, 561 is 1
GCD(870, 149, 122, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 149, 122, 561 is 1
GCD(870, 149, 122, 561) = 1
Given Input numbers are 870, 149, 122, 561
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 870, 149, 122, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 149, 122, 561 is 1.
Therefore, GCD of numbers 870, 149, 122, 561 is 1
Given Input Data is 870, 149, 122, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 149 is 149
Prime Factorization of 122 is 2 x 61
Prime Factorization of 561 is 3 x 11 x 17
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(870, 149) = 129630
GCD(870, 149) = ( 870 x 149 ) / 129630
GCD(870, 149) = 129630 / 129630
GCD(870, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 870, 149, 122, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 149, 122, 561?
GCD of 870, 149, 122, 561 is 1
2. Where do I get the detailed procedure to find GCD of 870, 149, 122, 561?
You can find a detailed procedure to find GCD of 870, 149, 122, 561 on our page.
3. How to find GCD of 870, 149, 122, 561 on a calculator?
You can find the GCD of 870, 149, 122, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.