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GCD of 407, 197, 48 Calculator

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


Online GCD Calculator is useful to find the GCD of 407, 197, 48 quickly. Get the easiest ways to solve the greatest common divisor of 407, 197, 48 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 407, 197, 48 with Factoring?

Given Input numbers are 407, 197, 48

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (407, 197, 48) = 1.

Find GCD of 407, 197, 48 using Prime Factorization

Given numbers are 407, 197, 48

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 197 are 197

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 407, 197, 48 using LCM Formula

Given numbers are 407, 197, 48

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

Apply this formula for all numbers.

Step1:

LCM(407, 197) = 80179

GCD(407, 197) = ( 407 x 197 ) / 80179

= 407 / 197

= 407


Step2:

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

= 1 / 48

= 1


So, Greatest Common Divisor of 407, 197, 48 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 407, 197, 48

Given numbers are 407, 197, 48
The greatest common divisor of numbers 407, 197, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 197, 48 is 1.

FAQs on GCD of 407, 197, 48 Calculator

1. What is the GCD of 407, 197, 48?

GCD of given numbers 407, 197, 48 is 1


2. How to calculate the greatest common divisor of 407, 197, 48?

We can find the highest common divisor of 407, 197, 48 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 407, 197, 48 i.e 1.


3. How can I use the GCD of 407, 197, 48Calculator?

Out the numbers 407, 197, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.