GCD of 240, 429, 138, 585 Calculator

Given Input numbers are 240, 429, 138, 585

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (240, 429, 138, 585) = 3.

Given numbers are 240, 429, 138, 585

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 429 are 3 x 11 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 240, 429, 138, 585 is 3.

Given numbers are 240, 429, 138, 585

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

Apply this formula for all numbers.

Step1:

LCM(240, 429) = 34320

GCD(240, 429) = ( 240 x 429 ) / 34320

= 240 / 429

= 240

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

So, Greatest Common Divisor of 240, 429, 138, 585 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 937, 302, 189
• GCD of 880, 464, 777, 518
• GCD of 918, 143, 362, 760
• GCD of 725, 222, 539, 337
• GCD of 561, 343, 756, 239

Given numbers are 240, 429, 138, 585
The greatest common divisor of numbers 240, 429, 138, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 429, 138, 585 is 3.

1. What is the GCD of 240, 429, 138, 585?

GCD of given numbers 240, 429, 138, 585 is 3

2. How to calculate the greatest common divisor of 240, 429, 138, 585?

We can find the highest common divisor of 240, 429, 138, 585 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, 429, 138, 585 i.e 3.

3. How can I use the GCD of 240, 429, 138, 585Calculator?

Out the numbers 240, 429, 138, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.