GCD of 501, 780, 957 Calculator
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 501, 780, 957 i.e. 3 largest integer that divides all the numbers equally.
GCD of 501, 780, 957 is 3
GCD(501, 780, 957) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 780, 957 is 3
GCD(501, 780, 957) = 3
GCDof 501,780,957 is 3
Given Input numbers are 501, 780, 957
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
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 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 501, 780, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 780, 957 is 3.
Therefore, GCD of numbers 501, 780, 957 is 3
Given Input Data is 501, 780, 957
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 957 is 3 x 11 x 29
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 501, 780, 957 using LCM Formula
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(501, 780) = 130260
GCD(501, 780) = ( 501 x 780 ) / 130260
GCD(501, 780) = 390780 / 130260
GCD(501, 780) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
GCD(3, 957) = 2871 / 957
GCD(3, 957) = 3
GCD of 501, 780, 957 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 501, 780, 957
1. What is the GCD of 501, 780, 957?
GCD of 501, 780, 957 is 3
2. Where do I get the detailed procedure to find GCD of 501, 780, 957?
You can find a detailed procedure to find GCD of 501, 780, 957 on our page.
3. How to find GCD of 501, 780, 957 on a calculator?
You can find the GCD of 501, 780, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.