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 137, 465, 57, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 465, 57, 894 is 1
GCD(137, 465, 57, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 465, 57, 894 is 1
GCD(137, 465, 57, 894) = 1
Given Input numbers are 137, 465, 57, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 137, 465, 57, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 465, 57, 894 is 1.
Therefore, GCD of numbers 137, 465, 57, 894 is 1
Given Input Data is 137, 465, 57, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 57 is 3 x 19
Prime Factorization of 894 is 2 x 3 x 149
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(137, 465) = 63705
GCD(137, 465) = ( 137 x 465 ) / 63705
GCD(137, 465) = 63705 / 63705
GCD(137, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
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
GCD of 137, 465, 57, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 465, 57, 894?
GCD of 137, 465, 57, 894 is 1
2. Where do I get the detailed procedure to find GCD of 137, 465, 57, 894?
You can find a detailed procedure to find GCD of 137, 465, 57, 894 on our page.
3. How to find GCD of 137, 465, 57, 894 on a calculator?
You can find the GCD of 137, 465, 57, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.