GCD of 740, 670, 915 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 740, 670, 915 i.e. 5 largest integer that divides all the numbers equally.
GCD of 740, 670, 915 is 5
GCD(740, 670, 915) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 670, 915 is 5
GCD(740, 670, 915) = 5
GCDof 740,670,915 is 5
Given Input numbers are 740, 670, 915
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 740, 670, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 670, 915 is 5.
Therefore, GCD of numbers 740, 670, 915 is 5
Given Input Data is 740, 670, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 915 is 3 x 5 x 61
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 740, 670, 915 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(740, 670) = 49580
GCD(740, 670) = ( 740 x 670 ) / 49580
GCD(740, 670) = 495800 / 49580
GCD(740, 670) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 915) = 1830
GCD(10, 915) = ( 10 x 915 ) / 1830
GCD(10, 915) = 9150 / 1830
GCD(10, 915) = 5
GCD of 740, 670, 915 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 740, 670, 915
1. What is the GCD of 740, 670, 915?
GCD of 740, 670, 915 is 5
2. Where do I get the detailed procedure to find GCD of 740, 670, 915?
You can find a detailed procedure to find GCD of 740, 670, 915 on our page.
3. How to find GCD of 740, 670, 915 on a calculator?
You can find the GCD of 740, 670, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.