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, 785, 380, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 785, 380, 640 is 1
GCD(784, 785, 380, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 785, 380, 640 is 1
GCD(784, 785, 380, 640) = 1
Given Input numbers are 784, 785, 380, 640
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 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 784, 785, 380, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 785, 380, 640 is 1.
Therefore, GCD of numbers 784, 785, 380, 640 is 1
Given Input Data is 784, 785, 380, 640
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 785 is 5 x 157
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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, 785) = 615440
GCD(784, 785) = ( 784 x 785 ) / 615440
GCD(784, 785) = 615440 / 615440
GCD(784, 785) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 784, 785, 380, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 785, 380, 640?
GCD of 784, 785, 380, 640 is 1
2. Where do I get the detailed procedure to find GCD of 784, 785, 380, 640?
You can find a detailed procedure to find GCD of 784, 785, 380, 640 on our page.
3. How to find GCD of 784, 785, 380, 640 on a calculator?
You can find the GCD of 784, 785, 380, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.