GCD of 980, 616, 644 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 980, 616, 644 quickly. Get the easiest ways to solve the greatest common divisor of 980, 616, 644 i.e 28 in different methods as follows.
Given Input numbers are 980, 616, 644
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (980, 616, 644) = 28.
Given numbers are 980, 616, 644
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 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 644 are 2 x 2 x 7 x 23
The highest common occurrence is 22 x 71
Therefore, GCD of 980, 616, 644 is 28.
Steps to Calculate GCD of 980, 616, 644 using LCM Formula
Given numbers are 980, 616, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 616) = 21560
GCD(980, 616) = ( 980 x 616 ) / 21560
= 980 / 616
= 980
Step2:
LCM(28, 644) = 644
GCD(28, 644) = ( 28 x 644 ) / 644
= 28 / 644
= 28
So, Greatest Common Divisor of 980, 616, 644 is 28
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 980, 616, 644
Given numbers are 980, 616, 644
The greatest common divisor of numbers 980, 616, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 616, 644 is 28.
FAQs on GCD of 980, 616, 644 Calculator
1. What is the GCD of 980, 616, 644?
GCD of given numbers 980, 616, 644 is 28
2. How to calculate the greatest common divisor of 980, 616, 644?
We can find the highest common divisor of 980, 616, 644 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, 616, 644 i.e 28.
3. How can I use the GCD of 980, 616, 644Calculator?
Out the numbers 980, 616, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.