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 784, 510, 757, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 510, 757, 677 is 1
GCD(784, 510, 757, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 510, 757, 677 is 1
GCD(784, 510, 757, 677) = 1
Given Input numbers are 784, 510, 757, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 784, 510, 757, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 510, 757, 677 is 1.
Therefore, GCD of numbers 784, 510, 757, 677 is 1
Given Input Data is 784, 510, 757, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 757 is 757
Prime Factorization of 677 is 677
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(784, 510) = 199920
GCD(784, 510) = ( 784 x 510 ) / 199920
GCD(784, 510) = 399840 / 199920
GCD(784, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 757) = 1514
GCD(2, 757) = ( 2 x 757 ) / 1514
GCD(2, 757) = 1514 / 1514
GCD(2, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 784, 510, 757, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 510, 757, 677?
GCD of 784, 510, 757, 677 is 1
2. Where do I get the detailed procedure to find GCD of 784, 510, 757, 677?
You can find a detailed procedure to find GCD of 784, 510, 757, 677 on our page.
3. How to find GCD of 784, 510, 757, 677 on a calculator?
You can find the GCD of 784, 510, 757, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.