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 710, 655, 145 i.e. 5 largest integer that divides all the numbers equally.
GCD of 710, 655, 145 is 5
GCD(710, 655, 145) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 655, 145 is 5
GCD(710, 655, 145) = 5
Given Input numbers are 710, 655, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 710, 655, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 655, 145 is 5.
Therefore, GCD of numbers 710, 655, 145 is 5
Given Input Data is 710, 655, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 655 is 5 x 131
Prime Factorization of 145 is 5 x 29
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(710, 655) = 93010
GCD(710, 655) = ( 710 x 655 ) / 93010
GCD(710, 655) = 465050 / 93010
GCD(710, 655) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 145) = 145
GCD(5, 145) = ( 5 x 145 ) / 145
GCD(5, 145) = 725 / 145
GCD(5, 145) = 5
GCD of 710, 655, 145 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 655, 145?
GCD of 710, 655, 145 is 5
2. Where do I get the detailed procedure to find GCD of 710, 655, 145?
You can find a detailed procedure to find GCD of 710, 655, 145 on our page.
3. How to find GCD of 710, 655, 145 on a calculator?
You can find the GCD of 710, 655, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.