GCD of 982, 725, 52, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 982, 725, 52, 289 quickly. Get the easiest ways to solve the greatest common divisor of 982, 725, 52, 289 i.e 1 in different methods as follows.
Given Input numbers are 982, 725, 52, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (982, 725, 52, 289) = 1.
Given numbers are 982, 725, 52, 289
The list of prime factors of all numbers are
Prime factors of 982 are 2 x 491
Prime factors of 725 are 5 x 5 x 29
Prime factors of 52 are 2 x 2 x 13
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 982, 725, 52, 289 using LCM Formula
Given numbers are 982, 725, 52, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(982, 725) = 711950
GCD(982, 725) = ( 982 x 725 ) / 711950
= 982 / 725
= 982
Step2:
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
= 1 / 52
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 982, 725, 52, 289 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 982, 725, 52, 289
Given numbers are 982, 725, 52, 289
The greatest common divisor of numbers 982, 725, 52, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 725, 52, 289 is 1.
FAQs on GCD of 982, 725, 52, 289 Calculator
1. What is the GCD of 982, 725, 52, 289?
GCD of given numbers 982, 725, 52, 289 is 1
2. How to calculate the greatest common divisor of 982, 725, 52, 289?
We can find the highest common divisor of 982, 725, 52, 289 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 982, 725, 52, 289 i.e 1.
3. How can I use the GCD of 982, 725, 52, 289Calculator?
Out the numbers 982, 725, 52, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.