GCD of 57, 7, 34, 17 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 57, 7, 34, 17 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 7, 34, 17 is 1
GCD(57, 7, 34, 17) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 7, 34, 17 is 1
GCD(57, 7, 34, 17) = 1
GCDof 57,7,34,17 is 1
Given Input numbers are 57, 7, 34, 17
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 7
List of positive integer divisors of 7 that divides 7 without a remainder.
1, 7
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Greatest Common Divisior
We found the divisors of 57, 7, 34, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 7, 34, 17 is 1.
Therefore, GCD of numbers 57, 7, 34, 17 is 1
Given Input Data is 57, 7, 34, 17
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 7 is 7
Prime Factorization of 34 is 2 x 17
Prime Factorization of 17 is 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 57, 7, 34, 17 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(57, 7) = 399
GCD(57, 7) = ( 57 x 7 ) / 399
GCD(57, 7) = 399 / 399
GCD(57, 7) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
GCD of 57, 7, 34, 17 is 1
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FAQs on GCD of numbers 57, 7, 34, 17
1. What is the GCD of 57, 7, 34, 17?
GCD of 57, 7, 34, 17 is 1
2. Where do I get the detailed procedure to find GCD of 57, 7, 34, 17?
You can find a detailed procedure to find GCD of 57, 7, 34, 17 on our page.
3. How to find GCD of 57, 7, 34, 17 on a calculator?
You can find the GCD of 57, 7, 34, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.