GCD of 338, 660, 431, 350 Calculator

Given Input numbers are 338, 660, 431, 350

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (338, 660, 431, 350) = 1.

Given numbers are 338, 660, 431, 350

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 431 are 431

Prime factors of 350 are 2 x 5 x 5 x 7

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

Given numbers are 338, 660, 431, 350

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

Apply this formula for all numbers.

Step1:

LCM(338, 660) = 111540

GCD(338, 660) = ( 338 x 660 ) / 111540

= 338 / 660

= 338

Step2:

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

= 2 / 431

= 2

Step3:

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

= 1 / 350

= 1

So, Greatest Common Divisor of 338, 660, 431, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 139, 480, 541
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Given numbers are 338, 660, 431, 350
The greatest common divisor of numbers 338, 660, 431, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 660, 431, 350 is 1.

1. What is the GCD of 338, 660, 431, 350?

GCD of given numbers 338, 660, 431, 350 is 1

2. How to calculate the greatest common divisor of 338, 660, 431, 350?

We can find the highest common divisor of 338, 660, 431, 350 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 338, 660, 431, 350 i.e 1.

3. How can I use the GCD of 338, 660, 431, 350Calculator?

Out the numbers 338, 660, 431, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.