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 62, 260, 269, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 260, 269, 971 is 1
GCD(62, 260, 269, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 260, 269, 971 is 1
GCD(62, 260, 269, 971) = 1
Given Input numbers are 62, 260, 269, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
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 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
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 62, 260, 269, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 260, 269, 971 is 1.
Therefore, GCD of numbers 62, 260, 269, 971 is 1
Given Input Data is 62, 260, 269, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 269 is 269
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(62, 260) = 8060
GCD(62, 260) = ( 62 x 260 ) / 8060
GCD(62, 260) = 16120 / 8060
GCD(62, 260) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 269) = 538
GCD(2, 269) = ( 2 x 269 ) / 538
GCD(2, 269) = 538 / 538
GCD(2, 269) = 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 62, 260, 269, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 260, 269, 971?
GCD of 62, 260, 269, 971 is 1
2. Where do I get the detailed procedure to find GCD of 62, 260, 269, 971?
You can find a detailed procedure to find GCD of 62, 260, 269, 971 on our page.
3. How to find GCD of 62, 260, 269, 971 on a calculator?
You can find the GCD of 62, 260, 269, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.