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GCD of 496, 426, 221, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 426, 221, 684 quickly. Get the easiest ways to solve the greatest common divisor of 496, 426, 221, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 426, 221, 684 with Factoring?

Given Input numbers are 496, 426, 221, 684

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (496, 426, 221, 684) = 1.

Find GCD of 496, 426, 221, 684 using Prime Factorization

Given numbers are 496, 426, 221, 684

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 426 are 2 x 3 x 71

Prime factors of 221 are 13 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 496, 426, 221, 684 using LCM Formula

Given numbers are 496, 426, 221, 684

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

Apply this formula for all numbers.

Step1:

LCM(496, 426) = 105648

GCD(496, 426) = ( 496 x 426 ) / 105648

= 496 / 426

= 496


Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 496, 426, 221, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 426, 221, 684

Given numbers are 496, 426, 221, 684
The greatest common divisor of numbers 496, 426, 221, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 426, 221, 684 is 1.

FAQs on GCD of 496, 426, 221, 684 Calculator

1. What is the GCD of 496, 426, 221, 684?

GCD of given numbers 496, 426, 221, 684 is 1


2. How to calculate the greatest common divisor of 496, 426, 221, 684?

We can find the highest common divisor of 496, 426, 221, 684 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 496, 426, 221, 684 i.e 1.


3. How can I use the GCD of 496, 426, 221, 684Calculator?

Out the numbers 496, 426, 221, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.