GCD of 240, 605, 135, 430 Calculator

Given Input numbers are 240, 605, 135, 430

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

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

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

GCD of numbers is the greatest common divisor

So, the GCD (240, 605, 135, 430) = 5.

Given numbers are 240, 605, 135, 430

The list of prime factors of all numbers are

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

Prime factors of 605 are 5 x 11 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 430 are 2 x 5 x 43

The highest common occurrence is 5¹

Therefore, GCD of 240, 605, 135, 430 is 5.

Given numbers are 240, 605, 135, 430

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

Apply this formula for all numbers.

Step1:

LCM(240, 605) = 29040

GCD(240, 605) = ( 240 x 605 ) / 29040

= 240 / 605

= 240

Step2:

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

= 5 / 135

= 5

Step3:

LCM(5, 430) = 430

GCD(5, 430) = ( 5 x 430 ) / 430

= 5 / 430

= 5

So, Greatest Common Divisor of 240, 605, 135, 430 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 971, 425, 298
• GCD of 306, 813, 961, 734
• GCD of 454, 950, 951, 444
• GCD of 600, 215, 591, 533
• GCD of 353, 102, 941, 850

Given numbers are 240, 605, 135, 430
The greatest common divisor of numbers 240, 605, 135, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 605, 135, 430 is 5.

1. What is the GCD of 240, 605, 135, 430?

GCD of given numbers 240, 605, 135, 430 is 5

2. How to calculate the greatest common divisor of 240, 605, 135, 430?

We can find the highest common divisor of 240, 605, 135, 430 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 240, 605, 135, 430 i.e 5.

3. How can I use the GCD of 240, 605, 135, 430Calculator?

Out the numbers 240, 605, 135, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.