GCD of 723, 102, 216, 633 Calculator

Given Input numbers are 723, 102, 216, 633

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

GCD of numbers is the greatest common divisor

So, the GCD (723, 102, 216, 633) = 3.

Given numbers are 723, 102, 216, 633

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 102 are 2 x 3 x 17

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 633 are 3 x 211

The highest common occurrence is 3¹

Therefore, GCD of 723, 102, 216, 633 is 3.

Given numbers are 723, 102, 216, 633

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

Apply this formula for all numbers.

Step1:

LCM(723, 102) = 24582

GCD(723, 102) = ( 723 x 102 ) / 24582

= 723 / 102

= 723

Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

Step3:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3

So, Greatest Common Divisor of 723, 102, 216, 633 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 472, 264, 864
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• GCD of 569, 517, 793, 868
• GCD of 642, 921, 605, 785
• GCD of 452, 325, 320, 178

Given numbers are 723, 102, 216, 633
The greatest common divisor of numbers 723, 102, 216, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 102, 216, 633 is 3.

1. What is the GCD of 723, 102, 216, 633?

GCD of given numbers 723, 102, 216, 633 is 3

2. How to calculate the greatest common divisor of 723, 102, 216, 633?

We can find the highest common divisor of 723, 102, 216, 633 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 723, 102, 216, 633 i.e 3.

3. How can I use the GCD of 723, 102, 216, 633Calculator?

Out the numbers 723, 102, 216, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.