GCD of 896, 168, 980 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 896, 168, 980 quickly. Get the easiest ways to solve the greatest common divisor of 896, 168, 980 i.e 28 in different methods as follows.
Given Input numbers are 896, 168, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 (896, 168, 980) = 28.
Given numbers are 896, 168, 980
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
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 896, 168, 980 is 28.
Steps to Calculate GCD of 896, 168, 980 using LCM Formula
Given numbers are 896, 168, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 168) = 2688
GCD(896, 168) = ( 896 x 168 ) / 2688
= 896 / 168
= 896
Step2:
LCM(56, 980) = 1960
GCD(56, 980) = ( 56 x 980 ) / 1960
= 56 / 980
= 56
So, Greatest Common Divisor of 896, 168, 980 is 28
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 896, 168, 980
Given numbers are 896, 168, 980
The greatest common divisor of numbers 896, 168, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 168, 980 is 28.
FAQs on GCD of 896, 168, 980 Calculator
1. What is the GCD of 896, 168, 980?
GCD of given numbers 896, 168, 980 is 28
2. How to calculate the greatest common divisor of 896, 168, 980?
We can find the highest common divisor of 896, 168, 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 896, 168, 980 i.e 28.
3. How can I use the GCD of 896, 168, 980Calculator?
Out the numbers 896, 168, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.