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GCD of 962, 288, 638, 462 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 962, 288, 638, 462 quickly. Get the easiest ways to solve the greatest common divisor of 962, 288, 638, 462 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 962, 288, 638, 462 with Factoring?

Given Input numbers are 962, 288, 638, 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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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, 288, 638, 462) = 2.

Find GCD of 962, 288, 638, 462 using Prime Factorization

Given numbers are 962, 288, 638, 462

The list of prime factors of all numbers are

Prime factors of 962 are 2 x 13 x 37

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 638 are 2 x 11 x 29

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 21

Therefore, GCD of 962, 288, 638, 462 is 2.

Steps to Calculate GCD of 962, 288, 638, 462 using LCM Formula

Given numbers are 962, 288, 638, 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, 288) = 138528

GCD(962, 288) = ( 962 x 288 ) / 138528

= 962 / 288

= 962


Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2


Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2


So, Greatest Common Divisor of 962, 288, 638, 462 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 962, 288, 638, 462

Given numbers are 962, 288, 638, 462
The greatest common divisor of numbers 962, 288, 638, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 288, 638, 462 is 2.

FAQs on GCD of 962, 288, 638, 462 Calculator

1. What is the GCD of 962, 288, 638, 462?

GCD of given numbers 962, 288, 638, 462 is 2


2. How to calculate the greatest common divisor of 962, 288, 638, 462?

We can find the highest common divisor of 962, 288, 638, 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, 288, 638, 462 i.e 2.


3. How can I use the GCD of 962, 288, 638, 462Calculator?

Out the numbers 962, 288, 638, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.