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 770, 784, 17, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 784, 17, 354 is 1
GCD(770, 784, 17, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 784, 17, 354 is 1
GCD(770, 784, 17, 354) = 1
Given Input numbers are 770, 784, 17, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
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 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 770, 784, 17, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 784, 17, 354 is 1.
Therefore, GCD of numbers 770, 784, 17, 354 is 1
Given Input Data is 770, 784, 17, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 17 is 17
Prime Factorization of 354 is 2 x 3 x 59
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(770, 784) = 43120
GCD(770, 784) = ( 770 x 784 ) / 43120
GCD(770, 784) = 603680 / 43120
GCD(770, 784) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 17) = 238
GCD(14, 17) = ( 14 x 17 ) / 238
GCD(14, 17) = 238 / 238
GCD(14, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 770, 784, 17, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 784, 17, 354?
GCD of 770, 784, 17, 354 is 1
2. Where do I get the detailed procedure to find GCD of 770, 784, 17, 354?
You can find a detailed procedure to find GCD of 770, 784, 17, 354 on our page.
3. How to find GCD of 770, 784, 17, 354 on a calculator?
You can find the GCD of 770, 784, 17, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.