GCD of 988, 572, 689 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 988, 572, 689 quickly. Get the easiest ways to solve the greatest common divisor of 988, 572, 689 i.e 13 in different methods as follows.
Given Input numbers are 988, 572, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (988, 572, 689) = 13.
Given numbers are 988, 572, 689
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 689 are 13 x 53
The highest common occurrence is 131
Therefore, GCD of 988, 572, 689 is 13.
Steps to Calculate GCD of 988, 572, 689 using LCM Formula
Given numbers are 988, 572, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 572) = 10868
GCD(988, 572) = ( 988 x 572 ) / 10868
= 988 / 572
= 988
Step2:
LCM(52, 689) = 2756
GCD(52, 689) = ( 52 x 689 ) / 2756
= 52 / 689
= 52
So, Greatest Common Divisor of 988, 572, 689 is 13
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 988, 572, 689
Given numbers are 988, 572, 689
The greatest common divisor of numbers 988, 572, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 572, 689 is 13.
FAQs on GCD of 988, 572, 689 Calculator
1. What is the GCD of 988, 572, 689?
GCD of given numbers 988, 572, 689 is 13
2. How to calculate the greatest common divisor of 988, 572, 689?
We can find the highest common divisor of 988, 572, 689 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 988, 572, 689 i.e 13.
3. How can I use the GCD of 988, 572, 689Calculator?
Out the numbers 988, 572, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.