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 64, 387, 648, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 64, 387, 648, 699 is 1
GCD(64, 387, 648, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 387, 648, 699 is 1
GCD(64, 387, 648, 699) = 1
Given Input numbers are 64, 387, 648, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 64, 387, 648, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 387, 648, 699 is 1.
Therefore, GCD of numbers 64, 387, 648, 699 is 1
Given Input Data is 64, 387, 648, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 699 is 3 x 233
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(64, 387) = 24768
GCD(64, 387) = ( 64 x 387 ) / 24768
GCD(64, 387) = 24768 / 24768
GCD(64, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 64, 387, 648, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 387, 648, 699?
GCD of 64, 387, 648, 699 is 1
2. Where do I get the detailed procedure to find GCD of 64, 387, 648, 699?
You can find a detailed procedure to find GCD of 64, 387, 648, 699 on our page.
3. How to find GCD of 64, 387, 648, 699 on a calculator?
You can find the GCD of 64, 387, 648, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.