GCD of 968, 782, 442 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 968, 782, 442 quickly. Get the easiest ways to solve the greatest common divisor of 968, 782, 442 i.e 2 in different methods as follows.
Given Input numbers are 968, 782, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (968, 782, 442) = 2.
Given numbers are 968, 782, 442
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 782 are 2 x 17 x 23
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 968, 782, 442 is 2.
Steps to Calculate GCD of 968, 782, 442 using LCM Formula
Given numbers are 968, 782, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 782) = 378488
GCD(968, 782) = ( 968 x 782 ) / 378488
= 968 / 782
= 968
Step2:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 968, 782, 442 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 968, 782, 442
Given numbers are 968, 782, 442
The greatest common divisor of numbers 968, 782, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 782, 442 is 2.
FAQs on GCD of 968, 782, 442 Calculator
1. What is the GCD of 968, 782, 442?
GCD of given numbers 968, 782, 442 is 2
2. How to calculate the greatest common divisor of 968, 782, 442?
We can find the highest common divisor of 968, 782, 442 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 968, 782, 442 i.e 2.
3. How can I use the GCD of 968, 782, 442Calculator?
Out the numbers 968, 782, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.