GCD of 17, 7, 64, 51 Calculator
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 17, 7, 64, 51 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 7, 64, 51 is 1
GCD(17, 7, 64, 51) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 7, 64, 51 is 1
GCD(17, 7, 64, 51) = 1
GCDof 17,7,64,51 is 1
Given Input numbers are 17, 7, 64, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 7
List of positive integer divisors of 7 that divides 7 without a remainder.
1, 7
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 17, 7, 64, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 7, 64, 51 is 1.
Therefore, GCD of numbers 17, 7, 64, 51 is 1
Given Input Data is 17, 7, 64, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 7 is 7
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 51 is 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 17, 7, 64, 51 using LCM Formula
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(17, 7) = 119
GCD(17, 7) = ( 17 x 7 ) / 119
GCD(17, 7) = 119 / 119
GCD(17, 7) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
GCD of 17, 7, 64, 51 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 17, 7, 64, 51
1. What is the GCD of 17, 7, 64, 51?
GCD of 17, 7, 64, 51 is 1
2. Where do I get the detailed procedure to find GCD of 17, 7, 64, 51?
You can find a detailed procedure to find GCD of 17, 7, 64, 51 on our page.
3. How to find GCD of 17, 7, 64, 51 on a calculator?
You can find the GCD of 17, 7, 64, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.