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, 153, 240, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 153, 240, 516 is 1
GCD(740, 153, 240, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 153, 240, 516 is 1
GCD(740, 153, 240, 516) = 1
Given Input numbers are 740, 153, 240, 516
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 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 740, 153, 240, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 153, 240, 516 is 1.
Therefore, GCD of numbers 740, 153, 240, 516 is 1
Given Input Data is 740, 153, 240, 516
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 153 is 3 x 3 x 17
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 516 is 2 x 2 x 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
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, 153) = 113220
GCD(740, 153) = ( 740 x 153 ) / 113220
GCD(740, 153) = 113220 / 113220
GCD(740, 153) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 740, 153, 240, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 153, 240, 516?
GCD of 740, 153, 240, 516 is 1
2. Where do I get the detailed procedure to find GCD of 740, 153, 240, 516?
You can find a detailed procedure to find GCD of 740, 153, 240, 516 on our page.
3. How to find GCD of 740, 153, 240, 516 on a calculator?
You can find the GCD of 740, 153, 240, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.