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GCD of 490, 910, 351, 816 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, 910, 351, 816 quickly. Get the easiest ways to solve the greatest common divisor of 490, 910, 351, 816 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 910, 351, 816 with Factoring?

Given Input numbers are 490, 910, 351, 816

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 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816


GCD of numbers is the greatest common divisor

So, the GCD (490, 910, 351, 816) = 1.

Find GCD of 490, 910, 351, 816 using Prime Factorization

Given numbers are 490, 910, 351, 816

The list of prime factors of all numbers are

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

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Steps to Calculate GCD of 490, 910, 351, 816 using LCM Formula

Given numbers are 490, 910, 351, 816

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

Apply this formula for all numbers.

Step1:

LCM(490, 910) = 6370

GCD(490, 910) = ( 490 x 910 ) / 6370

= 490 / 910

= 490


Step2:

LCM(70, 351) = 24570

GCD(70, 351) = ( 70 x 351 ) / 24570

= 70 / 351

= 70


Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1


So, Greatest Common Divisor of 490, 910, 351, 816 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 910, 351, 816

Given numbers are 490, 910, 351, 816
The greatest common divisor of numbers 490, 910, 351, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 910, 351, 816 is 1.

FAQs on GCD of 490, 910, 351, 816 Calculator

1. What is the GCD of 490, 910, 351, 816?

GCD of given numbers 490, 910, 351, 816 is 1


2. How to calculate the greatest common divisor of 490, 910, 351, 816?

We can find the highest common divisor of 490, 910, 351, 816 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, 910, 351, 816 i.e 1.


3. How can I use the GCD of 490, 910, 351, 816Calculator?

Out the numbers 490, 910, 351, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.