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GCD of 351, 264, 494, 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 351, 264, 494, 840 quickly. Get the easiest ways to solve the greatest common divisor of 351, 264, 494, 840 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 351, 264, 494, 840 with Factoring?

Given Input numbers are 351, 264, 494, 840

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

Divisors of 351 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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 (351, 264, 494, 840) = 1.

Find GCD of 351, 264, 494, 840 using Prime Factorization

Given numbers are 351, 264, 494, 840

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 494 are 2 x 13 x 19

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 351, 264, 494, 840 using LCM Formula

Given numbers are 351, 264, 494, 840

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

Apply this formula for all numbers.

Step1:

LCM(351, 264) = 30888

GCD(351, 264) = ( 351 x 264 ) / 30888

= 351 / 264

= 351


Step2:

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

= 3 / 494

= 3


Step3:

LCM(1, 840) = 840

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

= 1 / 840

= 1


So, Greatest Common Divisor of 351, 264, 494, 840 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 351, 264, 494, 840

Given numbers are 351, 264, 494, 840
The greatest common divisor of numbers 351, 264, 494, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 264, 494, 840 is 1.

FAQs on GCD of 351, 264, 494, 840 Calculator

1. What is the GCD of 351, 264, 494, 840?

GCD of given numbers 351, 264, 494, 840 is 1


2. How to calculate the greatest common divisor of 351, 264, 494, 840?

We can find the highest common divisor of 351, 264, 494, 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 351, 264, 494, 840 i.e 1.


3. How can I use the GCD of 351, 264, 494, 840Calculator?

Out the numbers 351, 264, 494, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.