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 865, 880, 52, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 880, 52, 692 is 1
GCD(865, 880, 52, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 880, 52, 692 is 1
GCD(865, 880, 52, 692) = 1
Given Input numbers are 865, 880, 52, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 865, 880, 52, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 880, 52, 692 is 1.
Therefore, GCD of numbers 865, 880, 52, 692 is 1
Given Input Data is 865, 880, 52, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 692 is 2 x 2 x 173
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(865, 880) = 152240
GCD(865, 880) = ( 865 x 880 ) / 152240
GCD(865, 880) = 761200 / 152240
GCD(865, 880) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 52) = 260
GCD(5, 52) = ( 5 x 52 ) / 260
GCD(5, 52) = 260 / 260
GCD(5, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 865, 880, 52, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 880, 52, 692?
GCD of 865, 880, 52, 692 is 1
2. Where do I get the detailed procedure to find GCD of 865, 880, 52, 692?
You can find a detailed procedure to find GCD of 865, 880, 52, 692 on our page.
3. How to find GCD of 865, 880, 52, 692 on a calculator?
You can find the GCD of 865, 880, 52, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.