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 980, 128, 455, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 128, 455, 170 is 1
GCD(980, 128, 455, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 128, 455, 170 is 1
GCD(980, 128, 455, 170) = 1
Given Input numbers are 980, 128, 455, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 980, 128, 455, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 128, 455, 170 is 1.
Therefore, GCD of numbers 980, 128, 455, 170 is 1
Given Input Data is 980, 128, 455, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 170 is 2 x 5 x 17
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(980, 128) = 31360
GCD(980, 128) = ( 980 x 128 ) / 31360
GCD(980, 128) = 125440 / 31360
GCD(980, 128) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 455) = 1820
GCD(4, 455) = ( 4 x 455 ) / 1820
GCD(4, 455) = 1820 / 1820
GCD(4, 455) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 980, 128, 455, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 128, 455, 170?
GCD of 980, 128, 455, 170 is 1
2. Where do I get the detailed procedure to find GCD of 980, 128, 455, 170?
You can find a detailed procedure to find GCD of 980, 128, 455, 170 on our page.
3. How to find GCD of 980, 128, 455, 170 on a calculator?
You can find the GCD of 980, 128, 455, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.