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GCD of 397, 196, 925, 342 Calculator

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


Online GCD Calculator is useful to find the GCD of 397, 196, 925, 342 quickly. Get the easiest ways to solve the greatest common divisor of 397, 196, 925, 342 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 397, 196, 925, 342 with Factoring?

Given Input numbers are 397, 196, 925, 342

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

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 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342


GCD of numbers is the greatest common divisor

So, the GCD (397, 196, 925, 342) = 1.

Find GCD of 397, 196, 925, 342 using Prime Factorization

Given numbers are 397, 196, 925, 342

The list of prime factors of all numbers are

Prime factors of 397 are 397

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

Prime factors of 925 are 5 x 5 x 37

Prime factors of 342 are 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 397, 196, 925, 342 using LCM Formula

Given numbers are 397, 196, 925, 342

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

Apply this formula for all numbers.

Step1:

LCM(397, 196) = 77812

GCD(397, 196) = ( 397 x 196 ) / 77812

= 397 / 196

= 397


Step2:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1


Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1


So, Greatest Common Divisor of 397, 196, 925, 342 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 397, 196, 925, 342

Given numbers are 397, 196, 925, 342
The greatest common divisor of numbers 397, 196, 925, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 196, 925, 342 is 1.

FAQs on GCD of 397, 196, 925, 342 Calculator

1. What is the GCD of 397, 196, 925, 342?

GCD of given numbers 397, 196, 925, 342 is 1


2. How to calculate the greatest common divisor of 397, 196, 925, 342?

We can find the highest common divisor of 397, 196, 925, 342 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 397, 196, 925, 342 i.e 1.


3. How can I use the GCD of 397, 196, 925, 342Calculator?

Out the numbers 397, 196, 925, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.