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 963, 771, 534 i.e. 3 largest integer that divides all the numbers equally.
GCD of 963, 771, 534 is 3
GCD(963, 771, 534) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 771, 534 is 3
GCD(963, 771, 534) = 3
Given Input numbers are 963, 771, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 963, 771, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 771, 534 is 3.
Therefore, GCD of numbers 963, 771, 534 is 3
Given Input Data is 963, 771, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 771 is 3 x 257
Prime Factorization of 534 is 2 x 3 x 89
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(963, 771) = 247491
GCD(963, 771) = ( 963 x 771 ) / 247491
GCD(963, 771) = 742473 / 247491
GCD(963, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 534) = 534
GCD(3, 534) = ( 3 x 534 ) / 534
GCD(3, 534) = 1602 / 534
GCD(3, 534) = 3
GCD of 963, 771, 534 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 771, 534?
GCD of 963, 771, 534 is 3
2. Where do I get the detailed procedure to find GCD of 963, 771, 534?
You can find a detailed procedure to find GCD of 963, 771, 534 on our page.
3. How to find GCD of 963, 771, 534 on a calculator?
You can find the GCD of 963, 771, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.