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GCD of 199, 120, 625, 413 Calculator

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


Online GCD Calculator is useful to find the GCD of 199, 120, 625, 413 quickly. Get the easiest ways to solve the greatest common divisor of 199, 120, 625, 413 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 199, 120, 625, 413 with Factoring?

Given Input numbers are 199, 120, 625, 413

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413


GCD of numbers is the greatest common divisor

So, the GCD (199, 120, 625, 413) = 1.

Find GCD of 199, 120, 625, 413 using Prime Factorization

Given numbers are 199, 120, 625, 413

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 413 are 7 x 59

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

Steps to Calculate GCD of 199, 120, 625, 413 using LCM Formula

Given numbers are 199, 120, 625, 413

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

Apply this formula for all numbers.

Step1:

LCM(199, 120) = 23880

GCD(199, 120) = ( 199 x 120 ) / 23880

= 199 / 120

= 199


Step2:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1


Step3:

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

= 1 / 413

= 1


So, Greatest Common Divisor of 199, 120, 625, 413 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 199, 120, 625, 413

Given numbers are 199, 120, 625, 413
The greatest common divisor of numbers 199, 120, 625, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 120, 625, 413 is 1.

FAQs on GCD of 199, 120, 625, 413 Calculator

1. What is the GCD of 199, 120, 625, 413?

GCD of given numbers 199, 120, 625, 413 is 1


2. How to calculate the greatest common divisor of 199, 120, 625, 413?

We can find the highest common divisor of 199, 120, 625, 413 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 199, 120, 625, 413 i.e 1.


3. How can I use the GCD of 199, 120, 625, 413Calculator?

Out the numbers 199, 120, 625, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.