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 160, 495, 59, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 495, 59, 685 is 1
GCD(160, 495, 59, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 495, 59, 685 is 1
GCD(160, 495, 59, 685) = 1
Given Input numbers are 160, 495, 59, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 160, 495, 59, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 495, 59, 685 is 1.
Therefore, GCD of numbers 160, 495, 59, 685 is 1
Given Input Data is 160, 495, 59, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 59 is 59
Prime Factorization of 685 is 5 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(160, 495) = 15840
GCD(160, 495) = ( 160 x 495 ) / 15840
GCD(160, 495) = 79200 / 15840
GCD(160, 495) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 59) = 295
GCD(5, 59) = ( 5 x 59 ) / 295
GCD(5, 59) = 295 / 295
GCD(5, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 160, 495, 59, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 495, 59, 685?
GCD of 160, 495, 59, 685 is 1
2. Where do I get the detailed procedure to find GCD of 160, 495, 59, 685?
You can find a detailed procedure to find GCD of 160, 495, 59, 685 on our page.
3. How to find GCD of 160, 495, 59, 685 on a calculator?
You can find the GCD of 160, 495, 59, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.