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 757, 330, 420, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 330, 420, 440 is 1
GCD(757, 330, 420, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 330, 420, 440 is 1
GCD(757, 330, 420, 440) = 1
Given Input numbers are 757, 330, 420, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 757, 330, 420, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 330, 420, 440 is 1.
Therefore, GCD of numbers 757, 330, 420, 440 is 1
Given Input Data is 757, 330, 420, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(757, 330) = 249810
GCD(757, 330) = ( 757 x 330 ) / 249810
GCD(757, 330) = 249810 / 249810
GCD(757, 330) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 757, 330, 420, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 330, 420, 440?
GCD of 757, 330, 420, 440 is 1
2. Where do I get the detailed procedure to find GCD of 757, 330, 420, 440?
You can find a detailed procedure to find GCD of 757, 330, 420, 440 on our page.
3. How to find GCD of 757, 330, 420, 440 on a calculator?
You can find the GCD of 757, 330, 420, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.