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 730, 350, 140, 654 i.e. 2 largest integer that divides all the numbers equally.
GCD of 730, 350, 140, 654 is 2
GCD(730, 350, 140, 654) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 350, 140, 654 is 2
GCD(730, 350, 140, 654) = 2
Given Input numbers are 730, 350, 140, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
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 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 730, 350, 140, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 350, 140, 654 is 2.
Therefore, GCD of numbers 730, 350, 140, 654 is 2
Given Input Data is 730, 350, 140, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 654 is 2 x 3 x 109
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(730, 350) = 25550
GCD(730, 350) = ( 730 x 350 ) / 25550
GCD(730, 350) = 255500 / 25550
GCD(730, 350) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 140) = 140
GCD(10, 140) = ( 10 x 140 ) / 140
GCD(10, 140) = 1400 / 140
GCD(10, 140) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 654) = 3270
GCD(10, 654) = ( 10 x 654 ) / 3270
GCD(10, 654) = 6540 / 3270
GCD(10, 654) = 2
GCD of 730, 350, 140, 654 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 350, 140, 654?
GCD of 730, 350, 140, 654 is 2
2. Where do I get the detailed procedure to find GCD of 730, 350, 140, 654?
You can find a detailed procedure to find GCD of 730, 350, 140, 654 on our page.
3. How to find GCD of 730, 350, 140, 654 on a calculator?
You can find the GCD of 730, 350, 140, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.