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 757, 871, 52, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 871, 52, 261 is 1
GCD(757, 871, 52, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 871, 52, 261 is 1
GCD(757, 871, 52, 261) = 1
Given Input numbers are 757, 871, 52, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 757, 871, 52, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 871, 52, 261 is 1.
Therefore, GCD of numbers 757, 871, 52, 261 is 1
Given Input Data is 757, 871, 52, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 871 is 13 x 67
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 261 is 3 x 3 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(757, 871) = 659347
GCD(757, 871) = ( 757 x 871 ) / 659347
GCD(757, 871) = 659347 / 659347
GCD(757, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 757, 871, 52, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 871, 52, 261?
GCD of 757, 871, 52, 261 is 1
2. Where do I get the detailed procedure to find GCD of 757, 871, 52, 261?
You can find a detailed procedure to find GCD of 757, 871, 52, 261 on our page.
3. How to find GCD of 757, 871, 52, 261 on a calculator?
You can find the GCD of 757, 871, 52, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.