GCD of 735, 720, 380 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 735, 720, 380 i.e. 5 largest integer that divides all the numbers equally.
GCD of 735, 720, 380 is 5
GCD(735, 720, 380) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 720, 380 is 5
GCD(735, 720, 380) = 5
GCDof 735,720,380 is 5
Given Input numbers are 735, 720, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 735, 720, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 720, 380 is 5.
Therefore, GCD of numbers 735, 720, 380 is 5
Given Input Data is 735, 720, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 380 is 2 x 2 x 5 x 19
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 735, 720, 380 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(735, 720) = 35280
GCD(735, 720) = ( 735 x 720 ) / 35280
GCD(735, 720) = 529200 / 35280
GCD(735, 720) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 380) = 1140
GCD(15, 380) = ( 15 x 380 ) / 1140
GCD(15, 380) = 5700 / 1140
GCD(15, 380) = 5
GCD of 735, 720, 380 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 735, 720, 380
1. What is the GCD of 735, 720, 380?
GCD of 735, 720, 380 is 5
2. Where do I get the detailed procedure to find GCD of 735, 720, 380?
You can find a detailed procedure to find GCD of 735, 720, 380 on our page.
3. How to find GCD of 735, 720, 380 on a calculator?
You can find the GCD of 735, 720, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.