GCD of 338, 636, 274, 145 Calculator

Given Input numbers are 338, 636, 274, 145

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (338, 636, 274, 145) = 1.

Given numbers are 338, 636, 274, 145

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 274 are 2 x 137

Prime factors of 145 are 5 x 29

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

Given numbers are 338, 636, 274, 145

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

Apply this formula for all numbers.

Step1:

LCM(338, 636) = 107484

GCD(338, 636) = ( 338 x 636 ) / 107484

= 338 / 636

= 338

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

= 2 / 145

= 2

So, Greatest Common Divisor of 338, 636, 274, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 285, 729, 285
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Given numbers are 338, 636, 274, 145
The greatest common divisor of numbers 338, 636, 274, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 636, 274, 145 is 1.

1. What is the GCD of 338, 636, 274, 145?

GCD of given numbers 338, 636, 274, 145 is 1

2. How to calculate the greatest common divisor of 338, 636, 274, 145?

We can find the highest common divisor of 338, 636, 274, 145 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, 636, 274, 145 i.e 1.

3. How can I use the GCD of 338, 636, 274, 145Calculator?

Out the numbers 338, 636, 274, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.