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, 801, 76, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 801, 76, 464 is 1
GCD(784, 801, 76, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 801, 76, 464 is 1
GCD(784, 801, 76, 464) = 1
Given Input numbers are 784, 801, 76, 464
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 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 784, 801, 76, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 801, 76, 464 is 1.
Therefore, GCD of numbers 784, 801, 76, 464 is 1
Given Input Data is 784, 801, 76, 464
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 801 is 3 x 3 x 89
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 464 is 2 x 2 x 2 x 2 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(784, 801) = 627984
GCD(784, 801) = ( 784 x 801 ) / 627984
GCD(784, 801) = 627984 / 627984
GCD(784, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 784, 801, 76, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 801, 76, 464?
GCD of 784, 801, 76, 464 is 1
2. Where do I get the detailed procedure to find GCD of 784, 801, 76, 464?
You can find a detailed procedure to find GCD of 784, 801, 76, 464 on our page.
3. How to find GCD of 784, 801, 76, 464 on a calculator?
You can find the GCD of 784, 801, 76, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.