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, 584, 865, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 584, 865, 875 is 1
GCD(757, 584, 865, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 584, 865, 875 is 1
GCD(757, 584, 865, 875) = 1
Given Input numbers are 757, 584, 865, 875
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 757, 584, 865, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 584, 865, 875 is 1.
Therefore, GCD of numbers 757, 584, 865, 875 is 1
Given Input Data is 757, 584, 865, 875
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 865 is 5 x 173
Prime Factorization of 875 is 5 x 5 x 5 x 7
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, 584) = 442088
GCD(757, 584) = ( 757 x 584 ) / 442088
GCD(757, 584) = 442088 / 442088
GCD(757, 584) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
GCD of 757, 584, 865, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 584, 865, 875?
GCD of 757, 584, 865, 875 is 1
2. Where do I get the detailed procedure to find GCD of 757, 584, 865, 875?
You can find a detailed procedure to find GCD of 757, 584, 865, 875 on our page.
3. How to find GCD of 757, 584, 865, 875 on a calculator?
You can find the GCD of 757, 584, 865, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.