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 507, 787, 761, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 787, 761, 101 is 1
GCD(507, 787, 761, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 787, 761, 101 is 1
GCD(507, 787, 761, 101) = 1
Given Input numbers are 507, 787, 761, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 507, 787, 761, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 787, 761, 101 is 1.
Therefore, GCD of numbers 507, 787, 761, 101 is 1
Given Input Data is 507, 787, 761, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 787 is 787
Prime Factorization of 761 is 761
Prime Factorization of 101 is 101
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(507, 787) = 399009
GCD(507, 787) = ( 507 x 787 ) / 399009
GCD(507, 787) = 399009 / 399009
GCD(507, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 507, 787, 761, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 787, 761, 101?
GCD of 507, 787, 761, 101 is 1
2. Where do I get the detailed procedure to find GCD of 507, 787, 761, 101?
You can find a detailed procedure to find GCD of 507, 787, 761, 101 on our page.
3. How to find GCD of 507, 787, 761, 101 on a calculator?
You can find the GCD of 507, 787, 761, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.