GCD of 280, 730, 440 Calculator

Given Input numbers are 280, 730, 440

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

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (280, 730, 440) = 10.

Given numbers are 280, 730, 440

The list of prime factors of all numbers are

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

Prime factors of 730 are 2 x 5 x 73

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 280, 730, 440 is 10.

Given numbers are 280, 730, 440

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

Apply this formula for all numbers.

Step1:

LCM(280, 730) = 20440

GCD(280, 730) = ( 280 x 730 ) / 20440

= 280 / 730

= 280

Step2:

LCM(10, 440) = 440

GCD(10, 440) = ( 10 x 440 ) / 440

= 10 / 440

= 10

So, Greatest Common Divisor of 280, 730, 440 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 582, 669
• GCD of 818, 303, 300
• GCD of 672, 661, 827
• GCD of 646, 790, 149
• GCD of 928, 890, 385

Given numbers are 280, 730, 440
The greatest common divisor of numbers 280, 730, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 730, 440 is 10.

1. What is the GCD of 280, 730, 440?

GCD of given numbers 280, 730, 440 is 10

2. How to calculate the greatest common divisor of 280, 730, 440?

We can find the highest common divisor of 280, 730, 440 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 280, 730, 440 i.e 10.

3. How can I use the GCD of 280, 730, 440Calculator?

Out the numbers 280, 730, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.