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 50, 560, 752, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 560, 752, 653 is 1
GCD(50, 560, 752, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 560, 752, 653 is 1
GCD(50, 560, 752, 653) = 1
Given Input numbers are 50, 560, 752, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 50, 560, 752, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 560, 752, 653 is 1.
Therefore, GCD of numbers 50, 560, 752, 653 is 1
Given Input Data is 50, 560, 752, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 653 is 653
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(50, 560) = 2800
GCD(50, 560) = ( 50 x 560 ) / 2800
GCD(50, 560) = 28000 / 2800
GCD(50, 560) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 752) = 3760
GCD(10, 752) = ( 10 x 752 ) / 3760
GCD(10, 752) = 7520 / 3760
GCD(10, 752) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 653) = 1306
GCD(2, 653) = ( 2 x 653 ) / 1306
GCD(2, 653) = 1306 / 1306
GCD(2, 653) = 1
GCD of 50, 560, 752, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 560, 752, 653?
GCD of 50, 560, 752, 653 is 1
2. Where do I get the detailed procedure to find GCD of 50, 560, 752, 653?
You can find a detailed procedure to find GCD of 50, 560, 752, 653 on our page.
3. How to find GCD of 50, 560, 752, 653 on a calculator?
You can find the GCD of 50, 560, 752, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.