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 137, 860, 461, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 860, 461, 971 is 1
GCD(137, 860, 461, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 860, 461, 971 is 1
GCD(137, 860, 461, 971) = 1
Given Input numbers are 137, 860, 461, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 137, 860, 461, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 860, 461, 971 is 1.
Therefore, GCD of numbers 137, 860, 461, 971 is 1
Given Input Data is 137, 860, 461, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 461 is 461
Prime Factorization of 971 is 971
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(137, 860) = 117820
GCD(137, 860) = ( 137 x 860 ) / 117820
GCD(137, 860) = 117820 / 117820
GCD(137, 860) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 137, 860, 461, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 860, 461, 971?
GCD of 137, 860, 461, 971 is 1
2. Where do I get the detailed procedure to find GCD of 137, 860, 461, 971?
You can find a detailed procedure to find GCD of 137, 860, 461, 971 on our page.
3. How to find GCD of 137, 860, 461, 971 on a calculator?
You can find the GCD of 137, 860, 461, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.