GCD of 992, 490, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 992, 490, 342 quickly. Get the easiest ways to solve the greatest common divisor of 992, 490, 342 i.e 2 in different methods as follows.
Given Input numbers are 992, 490, 342
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 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (992, 490, 342) = 2.
Given numbers are 992, 490, 342
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 490 are 2 x 5 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 992, 490, 342 is 2.
Steps to Calculate GCD of 992, 490, 342 using LCM Formula
Given numbers are 992, 490, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 490) = 243040
GCD(992, 490) = ( 992 x 490 ) / 243040
= 992 / 490
= 992
Step2:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 992, 490, 342 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 992, 490, 342
Given numbers are 992, 490, 342
The greatest common divisor of numbers 992, 490, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 490, 342 is 2.
FAQs on GCD of 992, 490, 342 Calculator
1. What is the GCD of 992, 490, 342?
GCD of given numbers 992, 490, 342 is 2
2. How to calculate the greatest common divisor of 992, 490, 342?
We can find the highest common divisor of 992, 490, 342 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, 490, 342 i.e 2.
3. How can I use the GCD of 992, 490, 342Calculator?
Out the numbers 992, 490, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.