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 605, 560, 137, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 605, 560, 137, 693 is 1
GCD(605, 560, 137, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 605, 560, 137, 693 is 1
GCD(605, 560, 137, 693) = 1
Given Input numbers are 605, 560, 137, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
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
Greatest Common Divisior
We found the divisors of 605, 560, 137, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 560, 137, 693 is 1.
Therefore, GCD of numbers 605, 560, 137, 693 is 1
Given Input Data is 605, 560, 137, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 137 is 137
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(605, 560) = 67760
GCD(605, 560) = ( 605 x 560 ) / 67760
GCD(605, 560) = 338800 / 67760
GCD(605, 560) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 137) = 685
GCD(5, 137) = ( 5 x 137 ) / 685
GCD(5, 137) = 685 / 685
GCD(5, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 605, 560, 137, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 605, 560, 137, 693?
GCD of 605, 560, 137, 693 is 1
2. Where do I get the detailed procedure to find GCD of 605, 560, 137, 693?
You can find a detailed procedure to find GCD of 605, 560, 137, 693 on our page.
3. How to find GCD of 605, 560, 137, 693 on a calculator?
You can find the GCD of 605, 560, 137, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.