GCD of 992, 748, 616 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 992, 748, 616 quickly. Get the easiest ways to solve the greatest common divisor of 992, 748, 616 i.e 4 in different methods as follows.
Given Input numbers are 992, 748, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
GCD of numbers is the greatest common divisor
So, the GCD (992, 748, 616) = 4.
Given numbers are 992, 748, 616
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 992, 748, 616 is 4.
Steps to Calculate GCD of 992, 748, 616 using LCM Formula
Given numbers are 992, 748, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 748) = 185504
GCD(992, 748) = ( 992 x 748 ) / 185504
= 992 / 748
= 992
Step2:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
So, Greatest Common Divisor of 992, 748, 616 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 992, 748, 616
Given numbers are 992, 748, 616
The greatest common divisor of numbers 992, 748, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 748, 616 is 4.
FAQs on GCD of 992, 748, 616 Calculator
1. What is the GCD of 992, 748, 616?
GCD of given numbers 992, 748, 616 is 4
2. How to calculate the greatest common divisor of 992, 748, 616?
We can find the highest common divisor of 992, 748, 616 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 992, 748, 616 i.e 4.
3. How can I use the GCD of 992, 748, 616Calculator?
Out the numbers 992, 748, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.