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 985, 965, 10 i.e. 5 largest integer that divides all the numbers equally.
GCD of 985, 965, 10 is 5
GCD(985, 965, 10) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 985, 965, 10 is 5
GCD(985, 965, 10) = 5
Given Input numbers are 985, 965, 10
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Greatest Common Divisior
We found the divisors of 985, 965, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 965, 10 is 5.
Therefore, GCD of numbers 985, 965, 10 is 5
Given Input Data is 985, 965, 10
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 985 is 5 x 197
Prime Factorization of 965 is 5 x 193
Prime Factorization of 10 is 2 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(985, 965) = 190105
GCD(985, 965) = ( 985 x 965 ) / 190105
GCD(985, 965) = 950525 / 190105
GCD(985, 965) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 10) = 10
GCD(5, 10) = ( 5 x 10 ) / 10
GCD(5, 10) = 50 / 10
GCD(5, 10) = 5
GCD of 985, 965, 10 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 985, 965, 10?
GCD of 985, 965, 10 is 5
2. Where do I get the detailed procedure to find GCD of 985, 965, 10?
You can find a detailed procedure to find GCD of 985, 965, 10 on our page.
3. How to find GCD of 985, 965, 10 on a calculator?
You can find the GCD of 985, 965, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.