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GCD of 272, 110, 705, 530 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, 110, 705, 530 quickly. Get the easiest ways to solve the greatest common divisor of 272, 110, 705, 530 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 110, 705, 530 with Factoring?

Given Input numbers are 272, 110, 705, 530

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 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530


GCD of numbers is the greatest common divisor

So, the GCD (272, 110, 705, 530) = 1.

Find GCD of 272, 110, 705, 530 using Prime Factorization

Given numbers are 272, 110, 705, 530

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 110 are 2 x 5 x 11

Prime factors of 705 are 3 x 5 x 47

Prime factors of 530 are 2 x 5 x 53

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

Steps to Calculate GCD of 272, 110, 705, 530 using LCM Formula

Given numbers are 272, 110, 705, 530

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

Apply this formula for all numbers.

Step1:

LCM(272, 110) = 14960

GCD(272, 110) = ( 272 x 110 ) / 14960

= 272 / 110

= 272


Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2


Step3:

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

= 1 / 530

= 1


So, Greatest Common Divisor of 272, 110, 705, 530 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 110, 705, 530

Given numbers are 272, 110, 705, 530
The greatest common divisor of numbers 272, 110, 705, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 110, 705, 530 is 1.

FAQs on GCD of 272, 110, 705, 530 Calculator

1. What is the GCD of 272, 110, 705, 530?

GCD of given numbers 272, 110, 705, 530 is 1


2. How to calculate the greatest common divisor of 272, 110, 705, 530?

We can find the highest common divisor of 272, 110, 705, 530 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, 110, 705, 530 i.e 1.


3. How can I use the GCD of 272, 110, 705, 530Calculator?

Out the numbers 272, 110, 705, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.