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 747, 919, 71, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 919, 71, 787 is 1
GCD(747, 919, 71, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 919, 71, 787 is 1
GCD(747, 919, 71, 787) = 1
Given Input numbers are 747, 919, 71, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 747, 919, 71, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 919, 71, 787 is 1.
Therefore, GCD of numbers 747, 919, 71, 787 is 1
Given Input Data is 747, 919, 71, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 919 is 919
Prime Factorization of 71 is 71
Prime Factorization of 787 is 787
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(747, 919) = 686493
GCD(747, 919) = ( 747 x 919 ) / 686493
GCD(747, 919) = 686493 / 686493
GCD(747, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 747, 919, 71, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 919, 71, 787?
GCD of 747, 919, 71, 787 is 1
2. Where do I get the detailed procedure to find GCD of 747, 919, 71, 787?
You can find a detailed procedure to find GCD of 747, 919, 71, 787 on our page.
3. How to find GCD of 747, 919, 71, 787 on a calculator?
You can find the GCD of 747, 919, 71, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.