GCD of 774, 600, 96 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 774, 600, 96 quickly. Get the easiest ways to solve the greatest common divisor of 774, 600, 96 i.e 6 in different methods as follows.
Given Input numbers are 774, 600, 96
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD of numbers is the greatest common divisor
So, the GCD (774, 600, 96) = 6.
Given numbers are 774, 600, 96
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 774, 600, 96 is 6.
Steps to Calculate GCD of 774, 600, 96 using LCM Formula
Given numbers are 774, 600, 96
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 600) = 77400
GCD(774, 600) = ( 774 x 600 ) / 77400
= 774 / 600
= 774
Step2:
LCM(6, 96) = 96
GCD(6, 96) = ( 6 x 96 ) / 96
= 6 / 96
= 6
So, Greatest Common Divisor of 774, 600, 96 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 774, 600, 96
Given numbers are 774, 600, 96
The greatest common divisor of numbers 774, 600, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 600, 96 is 6.
FAQs on GCD of 774, 600, 96 Calculator
1. What is the GCD of 774, 600, 96?
GCD of given numbers 774, 600, 96 is 6
2. How to calculate the greatest common divisor of 774, 600, 96?
We can find the highest common divisor of 774, 600, 96 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 774, 600, 96 i.e 6.
3. How can I use the GCD of 774, 600, 96Calculator?
Out the numbers 774, 600, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.