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 56, 13, 45, 35 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 13, 45, 35 is 1
GCD(56, 13, 45, 35) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 13, 45, 35 is 1
GCD(56, 13, 45, 35) = 1
Given Input numbers are 56, 13, 45, 35
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Greatest Common Divisior
We found the divisors of 56, 13, 45, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 13, 45, 35 is 1.
Therefore, GCD of numbers 56, 13, 45, 35 is 1
Given Input Data is 56, 13, 45, 35
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 13 is 13
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 35 is 5 x 7
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(56, 13) = 728
GCD(56, 13) = ( 56 x 13 ) / 728
GCD(56, 13) = 728 / 728
GCD(56, 13) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
GCD of 56, 13, 45, 35 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 13, 45, 35?
GCD of 56, 13, 45, 35 is 1
2. Where do I get the detailed procedure to find GCD of 56, 13, 45, 35?
You can find a detailed procedure to find GCD of 56, 13, 45, 35 on our page.
3. How to find GCD of 56, 13, 45, 35 on a calculator?
You can find the GCD of 56, 13, 45, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.