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 750, 655, 501, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 655, 501, 783 is 1
GCD(750, 655, 501, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 655, 501, 783 is 1
GCD(750, 655, 501, 783) = 1
Given Input numbers are 750, 655, 501, 783
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 750, 655, 501, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 655, 501, 783 is 1.
Therefore, GCD of numbers 750, 655, 501, 783 is 1
Given Input Data is 750, 655, 501, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 655 is 5 x 131
Prime Factorization of 501 is 3 x 167
Prime Factorization of 783 is 3 x 3 x 3 x 29
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(750, 655) = 98250
GCD(750, 655) = ( 750 x 655 ) / 98250
GCD(750, 655) = 491250 / 98250
GCD(750, 655) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 501) = 2505
GCD(5, 501) = ( 5 x 501 ) / 2505
GCD(5, 501) = 2505 / 2505
GCD(5, 501) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
GCD of 750, 655, 501, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 655, 501, 783?
GCD of 750, 655, 501, 783 is 1
2. Where do I get the detailed procedure to find GCD of 750, 655, 501, 783?
You can find a detailed procedure to find GCD of 750, 655, 501, 783 on our page.
3. How to find GCD of 750, 655, 501, 783 on a calculator?
You can find the GCD of 750, 655, 501, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.