GCD of 962, 828, 462 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 962, 828, 462 quickly. Get the easiest ways to solve the greatest common divisor of 962, 828, 462 i.e 2 in different methods as follows.
Given Input numbers are 962, 828, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (962, 828, 462) = 2.
Given numbers are 962, 828, 462
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 962, 828, 462 is 2.
Steps to Calculate GCD of 962, 828, 462 using LCM Formula
Given numbers are 962, 828, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 828) = 398268
GCD(962, 828) = ( 962 x 828 ) / 398268
= 962 / 828
= 962
Step2:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 962, 828, 462 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 962, 828, 462
Given numbers are 962, 828, 462
The greatest common divisor of numbers 962, 828, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 828, 462 is 2.
FAQs on GCD of 962, 828, 462 Calculator
1. What is the GCD of 962, 828, 462?
GCD of given numbers 962, 828, 462 is 2
2. How to calculate the greatest common divisor of 962, 828, 462?
We can find the highest common divisor of 962, 828, 462 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 962, 828, 462 i.e 2.
3. How can I use the GCD of 962, 828, 462Calculator?
Out the numbers 962, 828, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.