GCD of 988, 714, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 988, 714, 660 quickly. Get the easiest ways to solve the greatest common divisor of 988, 714, 660 i.e 2 in different methods as follows.
Given Input numbers are 988, 714, 660
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 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (988, 714, 660) = 2.
Given numbers are 988, 714, 660
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 988, 714, 660 is 2.
Steps to Calculate GCD of 988, 714, 660 using LCM Formula
Given numbers are 988, 714, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 714) = 352716
GCD(988, 714) = ( 988 x 714 ) / 352716
= 988 / 714
= 988
Step2:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 988, 714, 660 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 988, 714, 660
Given numbers are 988, 714, 660
The greatest common divisor of numbers 988, 714, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 714, 660 is 2.
FAQs on GCD of 988, 714, 660 Calculator
1. What is the GCD of 988, 714, 660?
GCD of given numbers 988, 714, 660 is 2
2. How to calculate the greatest common divisor of 988, 714, 660?
We can find the highest common divisor of 988, 714, 660 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, 714, 660 i.e 2.
3. How can I use the GCD of 988, 714, 660Calculator?
Out the numbers 988, 714, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.