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 464, 689, 25, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 689, 25, 980 is 1
GCD(464, 689, 25, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 689, 25, 980 is 1
GCD(464, 689, 25, 980) = 1
Given Input numbers are 464, 689, 25, 980
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
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
Greatest Common Divisior
We found the divisors of 464, 689, 25, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 689, 25, 980 is 1.
Therefore, GCD of numbers 464, 689, 25, 980 is 1
Given Input Data is 464, 689, 25, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 689 is 13 x 53
Prime Factorization of 25 is 5 x 5
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(464, 689) = 319696
GCD(464, 689) = ( 464 x 689 ) / 319696
GCD(464, 689) = 319696 / 319696
GCD(464, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 464, 689, 25, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 689, 25, 980?
GCD of 464, 689, 25, 980 is 1
2. Where do I get the detailed procedure to find GCD of 464, 689, 25, 980?
You can find a detailed procedure to find GCD of 464, 689, 25, 980 on our page.
3. How to find GCD of 464, 689, 25, 980 on a calculator?
You can find the GCD of 464, 689, 25, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.