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, 948, 690, 510 i.e. 3 largest integer that divides all the numbers equally.
GCD of 963, 948, 690, 510 is 3
GCD(963, 948, 690, 510) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 948, 690, 510 is 3
GCD(963, 948, 690, 510) = 3
Given Input numbers are 963, 948, 690, 510
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 963, 948, 690, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 948, 690, 510 is 3.
Therefore, GCD of numbers 963, 948, 690, 510 is 3
Given Input Data is 963, 948, 690, 510
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 948 is 2 x 2 x 3 x 79
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 510 is 2 x 3 x 5 x 17
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, 948) = 304308
GCD(963, 948) = ( 963 x 948 ) / 304308
GCD(963, 948) = 912924 / 304308
GCD(963, 948) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 690) = 690
GCD(3, 690) = ( 3 x 690 ) / 690
GCD(3, 690) = 2070 / 690
GCD(3, 690) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 510) = 510
GCD(3, 510) = ( 3 x 510 ) / 510
GCD(3, 510) = 1530 / 510
GCD(3, 510) = 3
GCD of 963, 948, 690, 510 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 948, 690, 510?
GCD of 963, 948, 690, 510 is 3
2. Where do I get the detailed procedure to find GCD of 963, 948, 690, 510?
You can find a detailed procedure to find GCD of 963, 948, 690, 510 on our page.
3. How to find GCD of 963, 948, 690, 510 on a calculator?
You can find the GCD of 963, 948, 690, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.