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GCD of 446, 395, 343, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 446, 395, 343, 138 quickly. Get the easiest ways to solve the greatest common divisor of 446, 395, 343, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 446, 395, 343, 138 with Factoring?

Given Input numbers are 446, 395, 343, 138

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (446, 395, 343, 138) = 1.

Find GCD of 446, 395, 343, 138 using Prime Factorization

Given numbers are 446, 395, 343, 138

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 395 are 5 x 79

Prime factors of 343 are 7 x 7 x 7

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 446, 395, 343, 138 using LCM Formula

Given numbers are 446, 395, 343, 138

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

Apply this formula for all numbers.

Step1:

LCM(446, 395) = 176170

GCD(446, 395) = ( 446 x 395 ) / 176170

= 446 / 395

= 446


Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1


Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 446, 395, 343, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 446, 395, 343, 138

Given numbers are 446, 395, 343, 138
The greatest common divisor of numbers 446, 395, 343, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 395, 343, 138 is 1.

FAQs on GCD of 446, 395, 343, 138 Calculator

1. What is the GCD of 446, 395, 343, 138?

GCD of given numbers 446, 395, 343, 138 is 1


2. How to calculate the greatest common divisor of 446, 395, 343, 138?

We can find the highest common divisor of 446, 395, 343, 138 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 446, 395, 343, 138 i.e 1.


3. How can I use the GCD of 446, 395, 343, 138Calculator?

Out the numbers 446, 395, 343, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.