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 880, 143, 513, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 143, 513, 715 is 1
GCD(880, 143, 513, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 143, 513, 715 is 1
GCD(880, 143, 513, 715) = 1
Given Input numbers are 880, 143, 513, 715
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 880, 143, 513, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 143, 513, 715 is 1.
Therefore, GCD of numbers 880, 143, 513, 715 is 1
Given Input Data is 880, 143, 513, 715
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 143 is 11 x 13
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 715 is 5 x 11 x 13
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(880, 143) = 11440
GCD(880, 143) = ( 880 x 143 ) / 11440
GCD(880, 143) = 125840 / 11440
GCD(880, 143) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 513) = 5643
GCD(11, 513) = ( 11 x 513 ) / 5643
GCD(11, 513) = 5643 / 5643
GCD(11, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
GCD(1, 715) = 715 / 715
GCD(1, 715) = 1
GCD of 880, 143, 513, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 143, 513, 715?
GCD of 880, 143, 513, 715 is 1
2. Where do I get the detailed procedure to find GCD of 880, 143, 513, 715?
You can find a detailed procedure to find GCD of 880, 143, 513, 715 on our page.
3. How to find GCD of 880, 143, 513, 715 on a calculator?
You can find the GCD of 880, 143, 513, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.