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 693, 274, 495, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 693, 274, 495, 107 is 1
GCD(693, 274, 495, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 693, 274, 495, 107 is 1
GCD(693, 274, 495, 107) = 1
Given Input numbers are 693, 274, 495, 107
To find the GCD of numbers using factoring list out all the divisors of each number
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 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 693, 274, 495, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 274, 495, 107 is 1.
Therefore, GCD of numbers 693, 274, 495, 107 is 1
Given Input Data is 693, 274, 495, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 274 is 2 x 137
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 107 is 107
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(693, 274) = 189882
GCD(693, 274) = ( 693 x 274 ) / 189882
GCD(693, 274) = 189882 / 189882
GCD(693, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 693, 274, 495, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 693, 274, 495, 107?
GCD of 693, 274, 495, 107 is 1
2. Where do I get the detailed procedure to find GCD of 693, 274, 495, 107?
You can find a detailed procedure to find GCD of 693, 274, 495, 107 on our page.
3. How to find GCD of 693, 274, 495, 107 on a calculator?
You can find the GCD of 693, 274, 495, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.