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GCD of 196, 424, 357, 392 Calculator

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


Online GCD Calculator is useful to find the GCD of 196, 424, 357, 392 quickly. Get the easiest ways to solve the greatest common divisor of 196, 424, 357, 392 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 424, 357, 392 with Factoring?

Given Input numbers are 196, 424, 357, 392

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392


GCD of numbers is the greatest common divisor

So, the GCD (196, 424, 357, 392) = 1.

Find GCD of 196, 424, 357, 392 using Prime Factorization

Given numbers are 196, 424, 357, 392

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 357 are 3 x 7 x 17

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Steps to Calculate GCD of 196, 424, 357, 392 using LCM Formula

Given numbers are 196, 424, 357, 392

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

Apply this formula for all numbers.

Step1:

LCM(196, 424) = 20776

GCD(196, 424) = ( 196 x 424 ) / 20776

= 196 / 424

= 196


Step2:

LCM(4, 357) = 1428

GCD(4, 357) = ( 4 x 357 ) / 1428

= 4 / 357

= 4


Step3:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1


So, Greatest Common Divisor of 196, 424, 357, 392 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 424, 357, 392

Given numbers are 196, 424, 357, 392
The greatest common divisor of numbers 196, 424, 357, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 424, 357, 392 is 1.

FAQs on GCD of 196, 424, 357, 392 Calculator

1. What is the GCD of 196, 424, 357, 392?

GCD of given numbers 196, 424, 357, 392 is 1


2. How to calculate the greatest common divisor of 196, 424, 357, 392?

We can find the highest common divisor of 196, 424, 357, 392 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 196, 424, 357, 392 i.e 1.


3. How can I use the GCD of 196, 424, 357, 392Calculator?

Out the numbers 196, 424, 357, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.