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 663, 672, 76, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 672, 76, 765 is 1
GCD(663, 672, 76, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 672, 76, 765 is 1
GCD(663, 672, 76, 765) = 1
Given Input numbers are 663, 672, 76, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 663, 672, 76, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 672, 76, 765 is 1.
Therefore, GCD of numbers 663, 672, 76, 765 is 1
Given Input Data is 663, 672, 76, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(663, 672) = 148512
GCD(663, 672) = ( 663 x 672 ) / 148512
GCD(663, 672) = 445536 / 148512
GCD(663, 672) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 76) = 228
GCD(3, 76) = ( 3 x 76 ) / 228
GCD(3, 76) = 228 / 228
GCD(3, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 663, 672, 76, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 672, 76, 765?
GCD of 663, 672, 76, 765 is 1
2. Where do I get the detailed procedure to find GCD of 663, 672, 76, 765?
You can find a detailed procedure to find GCD of 663, 672, 76, 765 on our page.
3. How to find GCD of 663, 672, 76, 765 on a calculator?
You can find the GCD of 663, 672, 76, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.