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 159, 707, 58, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 707, 58, 654 is 1
GCD(159, 707, 58, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 707, 58, 654 is 1
GCD(159, 707, 58, 654) = 1
Given Input numbers are 159, 707, 58, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 159, 707, 58, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 707, 58, 654 is 1.
Therefore, GCD of numbers 159, 707, 58, 654 is 1
Given Input Data is 159, 707, 58, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 707 is 7 x 101
Prime Factorization of 58 is 2 x 29
Prime Factorization of 654 is 2 x 3 x 109
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(159, 707) = 112413
GCD(159, 707) = ( 159 x 707 ) / 112413
GCD(159, 707) = 112413 / 112413
GCD(159, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 159, 707, 58, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 707, 58, 654?
GCD of 159, 707, 58, 654 is 1
2. Where do I get the detailed procedure to find GCD of 159, 707, 58, 654?
You can find a detailed procedure to find GCD of 159, 707, 58, 654 on our page.
3. How to find GCD of 159, 707, 58, 654 on a calculator?
You can find the GCD of 159, 707, 58, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.