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GCD of 272, 706, 463, 840 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, 706, 463, 840 quickly. Get the easiest ways to solve the greatest common divisor of 272, 706, 463, 840 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 706, 463, 840 with Factoring?

Given Input numbers are 272, 706, 463, 840

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840


GCD of numbers is the greatest common divisor

So, the GCD (272, 706, 463, 840) = 1.

Find GCD of 272, 706, 463, 840 using Prime Factorization

Given numbers are 272, 706, 463, 840

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 706 are 2 x 353

Prime factors of 463 are 463

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Steps to Calculate GCD of 272, 706, 463, 840 using LCM Formula

Given numbers are 272, 706, 463, 840

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

Apply this formula for all numbers.

Step1:

LCM(272, 706) = 96016

GCD(272, 706) = ( 272 x 706 ) / 96016

= 272 / 706

= 272


Step2:

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

= 2 / 463

= 2


Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1


So, Greatest Common Divisor of 272, 706, 463, 840 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 706, 463, 840

Given numbers are 272, 706, 463, 840
The greatest common divisor of numbers 272, 706, 463, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 706, 463, 840 is 1.

FAQs on GCD of 272, 706, 463, 840 Calculator

1. What is the GCD of 272, 706, 463, 840?

GCD of given numbers 272, 706, 463, 840 is 1


2. How to calculate the greatest common divisor of 272, 706, 463, 840?

We can find the highest common divisor of 272, 706, 463, 840 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, 706, 463, 840 i.e 1.


3. How can I use the GCD of 272, 706, 463, 840Calculator?

Out the numbers 272, 706, 463, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.