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 918, 588, 157, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 588, 157, 146 is 1
GCD(918, 588, 157, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 588, 157, 146 is 1
GCD(918, 588, 157, 146) = 1
Given Input numbers are 918, 588, 157, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 918, 588, 157, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 588, 157, 146 is 1.
Therefore, GCD of numbers 918, 588, 157, 146 is 1
Given Input Data is 918, 588, 157, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 157 is 157
Prime Factorization of 146 is 2 x 73
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(918, 588) = 89964
GCD(918, 588) = ( 918 x 588 ) / 89964
GCD(918, 588) = 539784 / 89964
GCD(918, 588) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 157) = 942
GCD(6, 157) = ( 6 x 157 ) / 942
GCD(6, 157) = 942 / 942
GCD(6, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 918, 588, 157, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 588, 157, 146?
GCD of 918, 588, 157, 146 is 1
2. Where do I get the detailed procedure to find GCD of 918, 588, 157, 146?
You can find a detailed procedure to find GCD of 918, 588, 157, 146 on our page.
3. How to find GCD of 918, 588, 157, 146 on a calculator?
You can find the GCD of 918, 588, 157, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.