GCD of 980, 728, 994 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 980, 728, 994 quickly. Get the easiest ways to solve the greatest common divisor of 980, 728, 994 i.e 14 in different methods as follows.
Given Input numbers are 980, 728, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (980, 728, 994) = 14.
Given numbers are 980, 728, 994
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 994 are 2 x 7 x 71
The highest common occurrence is 21 x 71
Therefore, GCD of 980, 728, 994 is 14.
Steps to Calculate GCD of 980, 728, 994 using LCM Formula
Given numbers are 980, 728, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 728) = 25480
GCD(980, 728) = ( 980 x 728 ) / 25480
= 980 / 728
= 980
Step2:
LCM(28, 994) = 1988
GCD(28, 994) = ( 28 x 994 ) / 1988
= 28 / 994
= 28
So, Greatest Common Divisor of 980, 728, 994 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 980, 728, 994
Given numbers are 980, 728, 994
The greatest common divisor of numbers 980, 728, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 728, 994 is 14.
FAQs on GCD of 980, 728, 994 Calculator
1. What is the GCD of 980, 728, 994?
GCD of given numbers 980, 728, 994 is 14
2. How to calculate the greatest common divisor of 980, 728, 994?
We can find the highest common divisor of 980, 728, 994 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 980, 728, 994 i.e 14.
3. How can I use the GCD of 980, 728, 994Calculator?
Out the numbers 980, 728, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.