GCD of 35, 70, 65 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 35, 70, 65 i.e. 5 largest integer that divides all the numbers equally.
GCD of 35, 70, 65 is 5
GCD(35, 70, 65) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 70, 65 is 5
GCD(35, 70, 65) = 5
GCDof 35,70,65 is 5
Given Input numbers are 35, 70, 65
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Greatest Common Divisior
We found the divisors of 35, 70, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 70, 65 is 5.
Therefore, GCD of numbers 35, 70, 65 is 5
Given Input Data is 35, 70, 65
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 65 is 5 x 13
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 35, 70, 65 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(35, 70) = 70
GCD(35, 70) = ( 35 x 70 ) / 70
GCD(35, 70) = 2450 / 70
GCD(35, 70) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 65) = 455
GCD(35, 65) = ( 35 x 65 ) / 455
GCD(35, 65) = 2275 / 455
GCD(35, 65) = 5
GCD of 35, 70, 65 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 35, 70, 65
1. What is the GCD of 35, 70, 65?
GCD of 35, 70, 65 is 5
2. Where do I get the detailed procedure to find GCD of 35, 70, 65?
You can find a detailed procedure to find GCD of 35, 70, 65 on our page.
3. How to find GCD of 35, 70, 65 on a calculator?
You can find the GCD of 35, 70, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.