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 501, 750, 61, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 750, 61, 757 is 1
GCD(501, 750, 61, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 750, 61, 757 is 1
GCD(501, 750, 61, 757) = 1
Given Input numbers are 501, 750, 61, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
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 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 501, 750, 61, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 750, 61, 757 is 1.
Therefore, GCD of numbers 501, 750, 61, 757 is 1
Given Input Data is 501, 750, 61, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 61 is 61
Prime Factorization of 757 is 757
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(501, 750) = 125250
GCD(501, 750) = ( 501 x 750 ) / 125250
GCD(501, 750) = 375750 / 125250
GCD(501, 750) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 61) = 183
GCD(3, 61) = ( 3 x 61 ) / 183
GCD(3, 61) = 183 / 183
GCD(3, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 501, 750, 61, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 750, 61, 757?
GCD of 501, 750, 61, 757 is 1
2. Where do I get the detailed procedure to find GCD of 501, 750, 61, 757?
You can find a detailed procedure to find GCD of 501, 750, 61, 757 on our page.
3. How to find GCD of 501, 750, 61, 757 on a calculator?
You can find the GCD of 501, 750, 61, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.