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, 559, 412, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 559, 412, 264 is 1
GCD(757, 559, 412, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 559, 412, 264 is 1
GCD(757, 559, 412, 264) = 1
Given Input numbers are 757, 559, 412, 264
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 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 757, 559, 412, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 559, 412, 264 is 1.
Therefore, GCD of numbers 757, 559, 412, 264 is 1
Given Input Data is 757, 559, 412, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 559 is 13 x 43
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 264 is 2 x 2 x 2 x 3 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, 559) = 423163
GCD(757, 559) = ( 757 x 559 ) / 423163
GCD(757, 559) = 423163 / 423163
GCD(757, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 757, 559, 412, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 559, 412, 264?
GCD of 757, 559, 412, 264 is 1
2. Where do I get the detailed procedure to find GCD of 757, 559, 412, 264?
You can find a detailed procedure to find GCD of 757, 559, 412, 264 on our page.
3. How to find GCD of 757, 559, 412, 264 on a calculator?
You can find the GCD of 757, 559, 412, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.