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GCD of 356, 740, 199 Calculator

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


Online GCD Calculator is useful to find the GCD of 356, 740, 199 quickly. Get the easiest ways to solve the greatest common divisor of 356, 740, 199 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 356, 740, 199 with Factoring?

Given Input numbers are 356, 740, 199

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 199 :

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

1, 199


GCD of numbers is the greatest common divisor

So, the GCD (356, 740, 199) = 1.

Find GCD of 356, 740, 199 using Prime Factorization

Given numbers are 356, 740, 199

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 199 are 199

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

Steps to Calculate GCD of 356, 740, 199 using LCM Formula

Given numbers are 356, 740, 199

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

Apply this formula for all numbers.

Step1:

LCM(356, 740) = 65860

GCD(356, 740) = ( 356 x 740 ) / 65860

= 356 / 740

= 356


Step2:

LCM(4, 199) = 796

GCD(4, 199) = ( 4 x 199 ) / 796

= 4 / 199

= 4


So, Greatest Common Divisor of 356, 740, 199 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 356, 740, 199

Given numbers are 356, 740, 199
The greatest common divisor of numbers 356, 740, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 740, 199 is 1.

FAQs on GCD of 356, 740, 199 Calculator

1. What is the GCD of 356, 740, 199?

GCD of given numbers 356, 740, 199 is 1


2. How to calculate the greatest common divisor of 356, 740, 199?

We can find the highest common divisor of 356, 740, 199 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 356, 740, 199 i.e 1.


3. How can I use the GCD of 356, 740, 199Calculator?

Out the numbers 356, 740, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.