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 53, 783, 135, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 783, 135, 137 is 1
GCD(53, 783, 135, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 783, 135, 137 is 1
GCD(53, 783, 135, 137) = 1
Given Input numbers are 53, 783, 135, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 53, 783, 135, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 783, 135, 137 is 1.
Therefore, GCD of numbers 53, 783, 135, 137 is 1
Given Input Data is 53, 783, 135, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 137 is 137
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(53, 783) = 41499
GCD(53, 783) = ( 53 x 783 ) / 41499
GCD(53, 783) = 41499 / 41499
GCD(53, 783) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 53, 783, 135, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 783, 135, 137?
GCD of 53, 783, 135, 137 is 1
2. Where do I get the detailed procedure to find GCD of 53, 783, 135, 137?
You can find a detailed procedure to find GCD of 53, 783, 135, 137 on our page.
3. How to find GCD of 53, 783, 135, 137 on a calculator?
You can find the GCD of 53, 783, 135, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.