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 695, 140, 10 i.e. 5 largest integer that divides all the numbers equally.
GCD of 695, 140, 10 is 5
GCD(695, 140, 10) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 140, 10 is 5
GCD(695, 140, 10) = 5
Given Input numbers are 695, 140, 10
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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 695, 140, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 140, 10 is 5.
Therefore, GCD of numbers 695, 140, 10 is 5
Given Input Data is 695, 140, 10
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(695, 140) = 19460
GCD(695, 140) = ( 695 x 140 ) / 19460
GCD(695, 140) = 97300 / 19460
GCD(695, 140) = 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 695, 140, 10 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 140, 10?
GCD of 695, 140, 10 is 5
2. Where do I get the detailed procedure to find GCD of 695, 140, 10?
You can find a detailed procedure to find GCD of 695, 140, 10 on our page.
3. How to find GCD of 695, 140, 10 on a calculator?
You can find the GCD of 695, 140, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.