GCD of 270, 460, 280 Calculator

Given Input numbers are 270, 460, 280

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (270, 460, 280) = 10.

Given numbers are 270, 460, 280

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 460 are 2 x 2 x 5 x 23

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 270, 460, 280 is 10.

Given numbers are 270, 460, 280

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

Apply this formula for all numbers.

Step1:

LCM(270, 460) = 12420

GCD(270, 460) = ( 270 x 460 ) / 12420

= 270 / 460

= 270

Step2:

LCM(10, 280) = 280

GCD(10, 280) = ( 10 x 280 ) / 280

= 10 / 280

= 10

So, Greatest Common Divisor of 270, 460, 280 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 678, 548
• GCD of 705, 835, 901
• GCD of 987, 525, 437
• GCD of 853, 636, 507
• GCD of 918, 296, 105

Given numbers are 270, 460, 280
The greatest common divisor of numbers 270, 460, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 460, 280 is 10.

1. What is the GCD of 270, 460, 280?

GCD of given numbers 270, 460, 280 is 10

2. How to calculate the greatest common divisor of 270, 460, 280?

We can find the highest common divisor of 270, 460, 280 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, 460, 280 i.e 10.

3. How can I use the GCD of 270, 460, 280Calculator?

Out the numbers 270, 460, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.