GCD of 777, 240, 213, 432 Calculator

Given Input numbers are 777, 240, 213, 432

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

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (777, 240, 213, 432) = 3.

Given numbers are 777, 240, 213, 432

The list of prime factors of all numbers are

Prime factors of 777 are 3 x 7 x 37

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

Prime factors of 213 are 3 x 71

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 777, 240, 213, 432 is 3.

Given numbers are 777, 240, 213, 432

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

Apply this formula for all numbers.

Step1:

LCM(777, 240) = 62160

GCD(777, 240) = ( 777 x 240 ) / 62160

= 777 / 240

= 777

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

So, Greatest Common Divisor of 777, 240, 213, 432 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 326, 636, 542
• GCD of 800, 569, 407, 744
• GCD of 815, 806, 660, 430
• GCD of 241, 474, 320, 419
• GCD of 494, 563, 731, 391

Given numbers are 777, 240, 213, 432
The greatest common divisor of numbers 777, 240, 213, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 240, 213, 432 is 3.

1. What is the GCD of 777, 240, 213, 432?

GCD of given numbers 777, 240, 213, 432 is 3

2. How to calculate the greatest common divisor of 777, 240, 213, 432?

We can find the highest common divisor of 777, 240, 213, 432 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 777, 240, 213, 432 i.e 3.

3. How can I use the GCD of 777, 240, 213, 432Calculator?

Out the numbers 777, 240, 213, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.