GCD of 270, 632, 38, 812 Calculator

Given Input numbers are 270, 632, 38, 812

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 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (270, 632, 38, 812) = 2.

Given numbers are 270, 632, 38, 812

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 632 are 2 x 2 x 2 x 79

Prime factors of 38 are 2 x 19

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 270, 632, 38, 812 is 2.

Given numbers are 270, 632, 38, 812

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

Apply this formula for all numbers.

Step1:

LCM(270, 632) = 85320

GCD(270, 632) = ( 270 x 632 ) / 85320

= 270 / 632

= 270

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

So, Greatest Common Divisor of 270, 632, 38, 812 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 852, 73, 410
• GCD of 230, 266, 21, 338
• GCD of 312, 391, 78, 914
• GCD of 615, 604, 11, 560
• GCD of 198, 665, 55, 839

Given numbers are 270, 632, 38, 812
The greatest common divisor of numbers 270, 632, 38, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 632, 38, 812 is 2.

1. What is the GCD of 270, 632, 38, 812?

GCD of given numbers 270, 632, 38, 812 is 2

2. How to calculate the greatest common divisor of 270, 632, 38, 812?

We can find the highest common divisor of 270, 632, 38, 812 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, 632, 38, 812 i.e 2.

3. How can I use the GCD of 270, 632, 38, 812Calculator?

Out the numbers 270, 632, 38, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.