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 352, 540, 73, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 540, 73, 680 is 1
GCD(352, 540, 73, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 540, 73, 680 is 1
GCD(352, 540, 73, 680) = 1
Given Input numbers are 352, 540, 73, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 352, 540, 73, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 540, 73, 680 is 1.
Therefore, GCD of numbers 352, 540, 73, 680 is 1
Given Input Data is 352, 540, 73, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 73 is 73
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(352, 540) = 47520
GCD(352, 540) = ( 352 x 540 ) / 47520
GCD(352, 540) = 190080 / 47520
GCD(352, 540) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
GCD(4, 73) = 292 / 292
GCD(4, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 352, 540, 73, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 540, 73, 680?
GCD of 352, 540, 73, 680 is 1
2. Where do I get the detailed procedure to find GCD of 352, 540, 73, 680?
You can find a detailed procedure to find GCD of 352, 540, 73, 680 on our page.
3. How to find GCD of 352, 540, 73, 680 on a calculator?
You can find the GCD of 352, 540, 73, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.