GCD of 270, 306, 376, 634 Calculator

Given Input numbers are 270, 306, 376, 634

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (270, 306, 376, 634) = 2.

Given numbers are 270, 306, 376, 634

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 270, 306, 376, 634 is 2.

Given numbers are 270, 306, 376, 634

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

Apply this formula for all numbers.

Step1:

LCM(270, 306) = 4590

GCD(270, 306) = ( 270 x 306 ) / 4590

= 270 / 306

= 270

Step2:

LCM(18, 376) = 3384

GCD(18, 376) = ( 18 x 376 ) / 3384

= 18 / 376

= 18

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 270, 306, 376, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 813, 750, 345
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Given numbers are 270, 306, 376, 634
The greatest common divisor of numbers 270, 306, 376, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 306, 376, 634 is 2.

1. What is the GCD of 270, 306, 376, 634?

GCD of given numbers 270, 306, 376, 634 is 2

2. How to calculate the greatest common divisor of 270, 306, 376, 634?

We can find the highest common divisor of 270, 306, 376, 634 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 270, 306, 376, 634 i.e 2.

3. How can I use the GCD of 270, 306, 376, 634Calculator?

Out the numbers 270, 306, 376, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.