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GCD of 272, 824, 496, 153 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, 824, 496, 153 quickly. Get the easiest ways to solve the greatest common divisor of 272, 824, 496, 153 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 824, 496, 153 with Factoring?

Given Input numbers are 272, 824, 496, 153

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153


GCD of numbers is the greatest common divisor

So, the GCD (272, 824, 496, 153) = 1.

Find GCD of 272, 824, 496, 153 using Prime Factorization

Given numbers are 272, 824, 496, 153

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 824 are 2 x 2 x 2 x 103

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 153 are 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 272, 824, 496, 153 using LCM Formula

Given numbers are 272, 824, 496, 153

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

Apply this formula for all numbers.

Step1:

LCM(272, 824) = 28016

GCD(272, 824) = ( 272 x 824 ) / 28016

= 272 / 824

= 272


Step2:

LCM(8, 496) = 496

GCD(8, 496) = ( 8 x 496 ) / 496

= 8 / 496

= 8


Step3:

LCM(8, 153) = 1224

GCD(8, 153) = ( 8 x 153 ) / 1224

= 8 / 153

= 8


So, Greatest Common Divisor of 272, 824, 496, 153 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 824, 496, 153

Given numbers are 272, 824, 496, 153
The greatest common divisor of numbers 272, 824, 496, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 824, 496, 153 is 1.

FAQs on GCD of 272, 824, 496, 153 Calculator

1. What is the GCD of 272, 824, 496, 153?

GCD of given numbers 272, 824, 496, 153 is 1


2. How to calculate the greatest common divisor of 272, 824, 496, 153?

We can find the highest common divisor of 272, 824, 496, 153 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, 824, 496, 153 i.e 1.


3. How can I use the GCD of 272, 824, 496, 153Calculator?

Out the numbers 272, 824, 496, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.