GCD of 980, 985, 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 980, 985, 17 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 985, 17 is 1
GCD(980, 985, 17) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 985, 17 is 1
GCD(980, 985, 17) = 1
GCDof 980,985,17 is 1
Given Input numbers are 980, 985, 17
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
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 980, 985, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 985, 17 is 1.
Therefore, GCD of numbers 980, 985, 17 is 1
Given Input Data is 980, 985, 17
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 985 is 5 x 197
Prime Factorization of 17 is 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 980, 985, 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(980, 985) = 193060
GCD(980, 985) = ( 980 x 985 ) / 193060
GCD(980, 985) = 965300 / 193060
GCD(980, 985) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 17) = 85
GCD(5, 17) = ( 5 x 17 ) / 85
GCD(5, 17) = 85 / 85
GCD(5, 17) = 1
GCD of 980, 985, 17 is 1
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FAQs on GCD of numbers 980, 985, 17
1. What is the GCD of 980, 985, 17?
GCD of 980, 985, 17 is 1
2. Where do I get the detailed procedure to find GCD of 980, 985, 17?
You can find a detailed procedure to find GCD of 980, 985, 17 on our page.
3. How to find GCD of 980, 985, 17 on a calculator?
You can find the GCD of 980, 985, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.