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 791, 384, 972, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 384, 972, 642 is 1
GCD(791, 384, 972, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 384, 972, 642 is 1
GCD(791, 384, 972, 642) = 1
Given Input numbers are 791, 384, 972, 642
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 791, 384, 972, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 384, 972, 642 is 1.
Therefore, GCD of numbers 791, 384, 972, 642 is 1
Given Input Data is 791, 384, 972, 642
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 642 is 2 x 3 x 107
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(791, 384) = 303744
GCD(791, 384) = ( 791 x 384 ) / 303744
GCD(791, 384) = 303744 / 303744
GCD(791, 384) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 791, 384, 972, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 384, 972, 642?
GCD of 791, 384, 972, 642 is 1
2. Where do I get the detailed procedure to find GCD of 791, 384, 972, 642?
You can find a detailed procedure to find GCD of 791, 384, 972, 642 on our page.
3. How to find GCD of 791, 384, 972, 642 on a calculator?
You can find the GCD of 791, 384, 972, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.