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, 422, 179, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 422, 179, 984 is 1
GCD(770, 422, 179, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 422, 179, 984 is 1
GCD(770, 422, 179, 984) = 1
Given Input numbers are 770, 422, 179, 984
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 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 770, 422, 179, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 422, 179, 984 is 1.
Therefore, GCD of numbers 770, 422, 179, 984 is 1
Given Input Data is 770, 422, 179, 984
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 422 is 2 x 211
Prime Factorization of 179 is 179
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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, 422) = 162470
GCD(770, 422) = ( 770 x 422 ) / 162470
GCD(770, 422) = 324940 / 162470
GCD(770, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 179) = 358
GCD(2, 179) = ( 2 x 179 ) / 358
GCD(2, 179) = 358 / 358
GCD(2, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 770, 422, 179, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 422, 179, 984?
GCD of 770, 422, 179, 984 is 1
2. Where do I get the detailed procedure to find GCD of 770, 422, 179, 984?
You can find a detailed procedure to find GCD of 770, 422, 179, 984 on our page.
3. How to find GCD of 770, 422, 179, 984 on a calculator?
You can find the GCD of 770, 422, 179, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.