GCD of 504, 728, 980 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 504, 728, 980 quickly. Get the easiest ways to solve the greatest common divisor of 504, 728, 980 i.e 28 in different methods as follows.
Given Input numbers are 504, 728, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 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
GCD of numbers is the greatest common divisor
So, the GCD (504, 728, 980) = 28.
Given numbers are 504, 728, 980
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 22 x 71
Therefore, GCD of 504, 728, 980 is 28.
Steps to Calculate GCD of 504, 728, 980 using LCM Formula
Given numbers are 504, 728, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 728) = 6552
GCD(504, 728) = ( 504 x 728 ) / 6552
= 504 / 728
= 504
Step2:
LCM(56, 980) = 1960
GCD(56, 980) = ( 56 x 980 ) / 1960
= 56 / 980
= 56
So, Greatest Common Divisor of 504, 728, 980 is 28
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 504, 728, 980
Given numbers are 504, 728, 980
The greatest common divisor of numbers 504, 728, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 728, 980 is 28.
FAQs on GCD of 504, 728, 980 Calculator
1. What is the GCD of 504, 728, 980?
GCD of given numbers 504, 728, 980 is 28
2. How to calculate the greatest common divisor of 504, 728, 980?
We can find the highest common divisor of 504, 728, 980 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 504, 728, 980 i.e 28.
3. How can I use the GCD of 504, 728, 980Calculator?
Out the numbers 504, 728, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.