GCD of 988, 546, 715 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 988, 546, 715 quickly. Get the easiest ways to solve the greatest common divisor of 988, 546, 715 i.e 13 in different methods as follows.
Given Input numbers are 988, 546, 715
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 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
GCD of numbers is the greatest common divisor
So, the GCD (988, 546, 715) = 13.
Given numbers are 988, 546, 715
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 715 are 5 x 11 x 13
The highest common occurrence is 131
Therefore, GCD of 988, 546, 715 is 13.
Steps to Calculate GCD of 988, 546, 715 using LCM Formula
Given numbers are 988, 546, 715
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 546) = 20748
GCD(988, 546) = ( 988 x 546 ) / 20748
= 988 / 546
= 988
Step2:
LCM(26, 715) = 1430
GCD(26, 715) = ( 26 x 715 ) / 1430
= 26 / 715
= 26
So, Greatest Common Divisor of 988, 546, 715 is 13
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 988, 546, 715
Given numbers are 988, 546, 715
The greatest common divisor of numbers 988, 546, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 546, 715 is 13.
FAQs on GCD of 988, 546, 715 Calculator
1. What is the GCD of 988, 546, 715?
GCD of given numbers 988, 546, 715 is 13
2. How to calculate the greatest common divisor of 988, 546, 715?
We can find the highest common divisor of 988, 546, 715 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, 546, 715 i.e 13.
3. How can I use the GCD of 988, 546, 715Calculator?
Out the numbers 988, 546, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.