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 885, 693, 735, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 885, 693, 735, 274 is 1
GCD(885, 693, 735, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 885, 693, 735, 274 is 1
GCD(885, 693, 735, 274) = 1
Given Input numbers are 885, 693, 735, 274
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 885, 693, 735, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 693, 735, 274 is 1.
Therefore, GCD of numbers 885, 693, 735, 274 is 1
Given Input Data is 885, 693, 735, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 274 is 2 x 137
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(885, 693) = 204435
GCD(885, 693) = ( 885 x 693 ) / 204435
GCD(885, 693) = 613305 / 204435
GCD(885, 693) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 735) = 735
GCD(3, 735) = ( 3 x 735 ) / 735
GCD(3, 735) = 2205 / 735
GCD(3, 735) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 274) = 822
GCD(3, 274) = ( 3 x 274 ) / 822
GCD(3, 274) = 822 / 822
GCD(3, 274) = 1
GCD of 885, 693, 735, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 885, 693, 735, 274?
GCD of 885, 693, 735, 274 is 1
2. Where do I get the detailed procedure to find GCD of 885, 693, 735, 274?
You can find a detailed procedure to find GCD of 885, 693, 735, 274 on our page.
3. How to find GCD of 885, 693, 735, 274 on a calculator?
You can find the GCD of 885, 693, 735, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.