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 687, 704, 54, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 704, 54, 151 is 1
GCD(687, 704, 54, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 704, 54, 151 is 1
GCD(687, 704, 54, 151) = 1
Given Input numbers are 687, 704, 54, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 687, 704, 54, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 704, 54, 151 is 1.
Therefore, GCD of numbers 687, 704, 54, 151 is 1
Given Input Data is 687, 704, 54, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 151 is 151
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(687, 704) = 483648
GCD(687, 704) = ( 687 x 704 ) / 483648
GCD(687, 704) = 483648 / 483648
GCD(687, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 687, 704, 54, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 704, 54, 151?
GCD of 687, 704, 54, 151 is 1
2. Where do I get the detailed procedure to find GCD of 687, 704, 54, 151?
You can find a detailed procedure to find GCD of 687, 704, 54, 151 on our page.
3. How to find GCD of 687, 704, 54, 151 on a calculator?
You can find the GCD of 687, 704, 54, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.