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 560, 300, 72, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 300, 72, 941 is 1
GCD(560, 300, 72, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 300, 72, 941 is 1
GCD(560, 300, 72, 941) = 1
Given Input numbers are 560, 300, 72, 941
To find the GCD of numbers using factoring list out all the divisors of each number
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 560, 300, 72, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 300, 72, 941 is 1.
Therefore, GCD of numbers 560, 300, 72, 941 is 1
Given Input Data is 560, 300, 72, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 941 is 941
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(560, 300) = 8400
GCD(560, 300) = ( 560 x 300 ) / 8400
GCD(560, 300) = 168000 / 8400
GCD(560, 300) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 72) = 360
GCD(20, 72) = ( 20 x 72 ) / 360
GCD(20, 72) = 1440 / 360
GCD(20, 72) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 941) = 3764
GCD(4, 941) = ( 4 x 941 ) / 3764
GCD(4, 941) = 3764 / 3764
GCD(4, 941) = 1
GCD of 560, 300, 72, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 300, 72, 941?
GCD of 560, 300, 72, 941 is 1
2. Where do I get the detailed procedure to find GCD of 560, 300, 72, 941?
You can find a detailed procedure to find GCD of 560, 300, 72, 941 on our page.
3. How to find GCD of 560, 300, 72, 941 on a calculator?
You can find the GCD of 560, 300, 72, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.