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 699, 896, 64, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 896, 64, 972 is 1
GCD(699, 896, 64, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 896, 64, 972 is 1
GCD(699, 896, 64, 972) = 1
Given Input numbers are 699, 896, 64, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
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 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 699, 896, 64, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 896, 64, 972 is 1.
Therefore, GCD of numbers 699, 896, 64, 972 is 1
Given Input Data is 699, 896, 64, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(699, 896) = 626304
GCD(699, 896) = ( 699 x 896 ) / 626304
GCD(699, 896) = 626304 / 626304
GCD(699, 896) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 699, 896, 64, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 896, 64, 972?
GCD of 699, 896, 64, 972 is 1
2. Where do I get the detailed procedure to find GCD of 699, 896, 64, 972?
You can find a detailed procedure to find GCD of 699, 896, 64, 972 on our page.
3. How to find GCD of 699, 896, 64, 972 on a calculator?
You can find the GCD of 699, 896, 64, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.