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 801, 780, 15, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 801, 780, 15, 976 is 1
GCD(801, 780, 15, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 801, 780, 15, 976 is 1
GCD(801, 780, 15, 976) = 1
Given Input numbers are 801, 780, 15, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 801, 780, 15, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 780, 15, 976 is 1.
Therefore, GCD of numbers 801, 780, 15, 976 is 1
Given Input Data is 801, 780, 15, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 15 is 3 x 5
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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(801, 780) = 208260
GCD(801, 780) = ( 801 x 780 ) / 208260
GCD(801, 780) = 624780 / 208260
GCD(801, 780) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 976) = 2928
GCD(3, 976) = ( 3 x 976 ) / 2928
GCD(3, 976) = 2928 / 2928
GCD(3, 976) = 1
GCD of 801, 780, 15, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 801, 780, 15, 976?
GCD of 801, 780, 15, 976 is 1
2. Where do I get the detailed procedure to find GCD of 801, 780, 15, 976?
You can find a detailed procedure to find GCD of 801, 780, 15, 976 on our page.
3. How to find GCD of 801, 780, 15, 976 on a calculator?
You can find the GCD of 801, 780, 15, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.