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 277, 285, 160, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 285, 160, 649 is 1
GCD(277, 285, 160, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 285, 160, 649 is 1
GCD(277, 285, 160, 649) = 1
Given Input numbers are 277, 285, 160, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
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 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 277, 285, 160, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 285, 160, 649 is 1.
Therefore, GCD of numbers 277, 285, 160, 649 is 1
Given Input Data is 277, 285, 160, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 649 is 11 x 59
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(277, 285) = 78945
GCD(277, 285) = ( 277 x 285 ) / 78945
GCD(277, 285) = 78945 / 78945
GCD(277, 285) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 277, 285, 160, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 285, 160, 649?
GCD of 277, 285, 160, 649 is 1
2. Where do I get the detailed procedure to find GCD of 277, 285, 160, 649?
You can find a detailed procedure to find GCD of 277, 285, 160, 649 on our page.
3. How to find GCD of 277, 285, 160, 649 on a calculator?
You can find the GCD of 277, 285, 160, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.