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GCD of 490, 689, 960, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 490, 689, 960, 272 quickly. Get the easiest ways to solve the greatest common divisor of 490, 689, 960, 272 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 689, 960, 272 with Factoring?

Given Input numbers are 490, 689, 960, 272

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 272 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (490, 689, 960, 272) = 1.

Find GCD of 490, 689, 960, 272 using Prime Factorization

Given numbers are 490, 689, 960, 272

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 689 are 13 x 53

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

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

Steps to Calculate GCD of 490, 689, 960, 272 using LCM Formula

Given numbers are 490, 689, 960, 272

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

Apply this formula for all numbers.

Step1:

LCM(490, 689) = 337610

GCD(490, 689) = ( 490 x 689 ) / 337610

= 490 / 689

= 490


Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1


Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1


So, Greatest Common Divisor of 490, 689, 960, 272 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 689, 960, 272

Given numbers are 490, 689, 960, 272
The greatest common divisor of numbers 490, 689, 960, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 689, 960, 272 is 1.

FAQs on GCD of 490, 689, 960, 272 Calculator

1. What is the GCD of 490, 689, 960, 272?

GCD of given numbers 490, 689, 960, 272 is 1


2. How to calculate the greatest common divisor of 490, 689, 960, 272?

We can find the highest common divisor of 490, 689, 960, 272 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 490, 689, 960, 272 i.e 1.


3. How can I use the GCD of 490, 689, 960, 272Calculator?

Out the numbers 490, 689, 960, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.