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GCD of 272, 616, 450, 862 Calculator

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


Online GCD Calculator is useful to find the GCD of 272, 616, 450, 862 quickly. Get the easiest ways to solve the greatest common divisor of 272, 616, 450, 862 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 616, 450, 862 with Factoring?

Given Input numbers are 272, 616, 450, 862

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862


GCD of numbers is the greatest common divisor

So, the GCD (272, 616, 450, 862) = 2.

Find GCD of 272, 616, 450, 862 using Prime Factorization

Given numbers are 272, 616, 450, 862

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 862 are 2 x 431

The highest common occurrence is 21

Therefore, GCD of 272, 616, 450, 862 is 2.

Steps to Calculate GCD of 272, 616, 450, 862 using LCM Formula

Given numbers are 272, 616, 450, 862

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

Apply this formula for all numbers.

Step1:

LCM(272, 616) = 20944

GCD(272, 616) = ( 272 x 616 ) / 20944

= 272 / 616

= 272


Step2:

LCM(8, 450) = 1800

GCD(8, 450) = ( 8 x 450 ) / 1800

= 8 / 450

= 8


Step3:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2


So, Greatest Common Divisor of 272, 616, 450, 862 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 616, 450, 862

Given numbers are 272, 616, 450, 862
The greatest common divisor of numbers 272, 616, 450, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 616, 450, 862 is 2.

FAQs on GCD of 272, 616, 450, 862 Calculator

1. What is the GCD of 272, 616, 450, 862?

GCD of given numbers 272, 616, 450, 862 is 2


2. How to calculate the greatest common divisor of 272, 616, 450, 862?

We can find the highest common divisor of 272, 616, 450, 862 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 272, 616, 450, 862 i.e 2.


3. How can I use the GCD of 272, 616, 450, 862Calculator?

Out the numbers 272, 616, 450, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.