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GCD of 16, 62, 14, 24 Calculator

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


Online GCD Calculator is useful to find the GCD of 16, 62, 14, 24 quickly. Get the easiest ways to solve the greatest common divisor of 16, 62, 14, 24 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 16, 62, 14, 24 with Factoring?

Given Input numbers are 16, 62, 14, 24

In the factoring method, we have to find the divisors of all numbers

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 62 :

The positive integer divisors of 62 that completely divides 62 are.

1, 2, 31, 62

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24


GCD of numbers is the greatest common divisor

So, the GCD (16, 62, 14, 24) = 2.

Find GCD of 16, 62, 14, 24 using Prime Factorization

Given numbers are 16, 62, 14, 24

The list of prime factors of all numbers are

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 62 are 2 x 31

Prime factors of 14 are 2 x 7

Prime factors of 24 are 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 16, 62, 14, 24 is 2.

Steps to Calculate GCD of 16, 62, 14, 24 using LCM Formula

Given numbers are 16, 62, 14, 24

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(16, 62) = 496

GCD(16, 62) = ( 16 x 62 ) / 496

= 16 / 62

= 16


Step2:

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

= 2 / 14

= 2


Step3:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2


So, Greatest Common Divisor of 16, 62, 14, 24 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 16, 62, 14, 24

Given numbers are 16, 62, 14, 24
The greatest common divisor of numbers 16, 62, 14, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 16, 62, 14, 24 is 2.

FAQs on GCD of 16, 62, 14, 24 Calculator

1. What is the GCD of 16, 62, 14, 24?

GCD of given numbers 16, 62, 14, 24 is 2


2. How to calculate the greatest common divisor of 16, 62, 14, 24?

We can find the highest common divisor of 16, 62, 14, 24 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 16, 62, 14, 24 i.e 2.


3. How can I use the GCD of 16, 62, 14, 24Calculator?

Out the numbers 16, 62, 14, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.