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, 264, 376, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 264, 376, 513 is 1
GCD(160, 264, 376, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 264, 376, 513 is 1
GCD(160, 264, 376, 513) = 1
Given Input numbers are 160, 264, 376, 513
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 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 160, 264, 376, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 264, 376, 513 is 1.
Therefore, GCD of numbers 160, 264, 376, 513 is 1
Given Input Data is 160, 264, 376, 513
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 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 513 is 3 x 3 x 3 x 19
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, 264) = 5280
GCD(160, 264) = ( 160 x 264 ) / 5280
GCD(160, 264) = 42240 / 5280
GCD(160, 264) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 376) = 376
GCD(8, 376) = ( 8 x 376 ) / 376
GCD(8, 376) = 3008 / 376
GCD(8, 376) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 513) = 4104
GCD(8, 513) = ( 8 x 513 ) / 4104
GCD(8, 513) = 4104 / 4104
GCD(8, 513) = 1
GCD of 160, 264, 376, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 264, 376, 513?
GCD of 160, 264, 376, 513 is 1
2. Where do I get the detailed procedure to find GCD of 160, 264, 376, 513?
You can find a detailed procedure to find GCD of 160, 264, 376, 513 on our page.
3. How to find GCD of 160, 264, 376, 513 on a calculator?
You can find the GCD of 160, 264, 376, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.