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 74, 633, 704, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 633, 704, 651 is 1
GCD(74, 633, 704, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 633, 704, 651 is 1
GCD(74, 633, 704, 651) = 1
Given Input numbers are 74, 633, 704, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 74, 633, 704, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 633, 704, 651 is 1.
Therefore, GCD of numbers 74, 633, 704, 651 is 1
Given Input Data is 74, 633, 704, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 633 is 3 x 211
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 651 is 3 x 7 x 31
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(74, 633) = 46842
GCD(74, 633) = ( 74 x 633 ) / 46842
GCD(74, 633) = 46842 / 46842
GCD(74, 633) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
GCD of 74, 633, 704, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 633, 704, 651?
GCD of 74, 633, 704, 651 is 1
2. Where do I get the detailed procedure to find GCD of 74, 633, 704, 651?
You can find a detailed procedure to find GCD of 74, 633, 704, 651 on our page.
3. How to find GCD of 74, 633, 704, 651 on a calculator?
You can find the GCD of 74, 633, 704, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.