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 508, 147, 894, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 147, 894, 145 is 1
GCD(508, 147, 894, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 147, 894, 145 is 1
GCD(508, 147, 894, 145) = 1
Given Input numbers are 508, 147, 894, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 508, 147, 894, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 147, 894, 145 is 1.
Therefore, GCD of numbers 508, 147, 894, 145 is 1
Given Input Data is 508, 147, 894, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 145 is 5 x 29
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(508, 147) = 74676
GCD(508, 147) = ( 508 x 147 ) / 74676
GCD(508, 147) = 74676 / 74676
GCD(508, 147) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 508, 147, 894, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 147, 894, 145?
GCD of 508, 147, 894, 145 is 1
2. Where do I get the detailed procedure to find GCD of 508, 147, 894, 145?
You can find a detailed procedure to find GCD of 508, 147, 894, 145 on our page.
3. How to find GCD of 508, 147, 894, 145 on a calculator?
You can find the GCD of 508, 147, 894, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.