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, 279, 265, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 279, 265, 755 is 1
GCD(160, 279, 265, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 279, 265, 755 is 1
GCD(160, 279, 265, 755) = 1
Given Input numbers are 160, 279, 265, 755
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 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 160, 279, 265, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 279, 265, 755 is 1.
Therefore, GCD of numbers 160, 279, 265, 755 is 1
Given Input Data is 160, 279, 265, 755
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 279 is 3 x 3 x 31
Prime Factorization of 265 is 5 x 53
Prime Factorization of 755 is 5 x 151
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, 279) = 44640
GCD(160, 279) = ( 160 x 279 ) / 44640
GCD(160, 279) = 44640 / 44640
GCD(160, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 160, 279, 265, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 279, 265, 755?
GCD of 160, 279, 265, 755 is 1
2. Where do I get the detailed procedure to find GCD of 160, 279, 265, 755?
You can find a detailed procedure to find GCD of 160, 279, 265, 755 on our page.
3. How to find GCD of 160, 279, 265, 755 on a calculator?
You can find the GCD of 160, 279, 265, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.