GCD of 290, 730, 240 Calculator

Given Input numbers are 290, 730, 240

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 730 :

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

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (290, 730, 240) = 10.

Given numbers are 290, 730, 240

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 730 are 2 x 5 x 73

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 290, 730, 240 is 10.

Given numbers are 290, 730, 240

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

Apply this formula for all numbers.

Step1:

LCM(290, 730) = 21170

GCD(290, 730) = ( 290 x 730 ) / 21170

= 290 / 730

= 290

Step2:

LCM(10, 240) = 240

GCD(10, 240) = ( 10 x 240 ) / 240

= 10 / 240

= 10

So, Greatest Common Divisor of 290, 730, 240 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 645, 234
• GCD of 660, 224, 769
• GCD of 267, 706, 775
• GCD of 562, 975, 270
• GCD of 376, 796, 851

Given numbers are 290, 730, 240
The greatest common divisor of numbers 290, 730, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 730, 240 is 10.

1. What is the GCD of 290, 730, 240?

GCD of given numbers 290, 730, 240 is 10

2. How to calculate the greatest common divisor of 290, 730, 240?

We can find the highest common divisor of 290, 730, 240 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 290, 730, 240 i.e 10.

3. How can I use the GCD of 290, 730, 240Calculator?

Out the numbers 290, 730, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.