GCD of 207, 492, 384, 642 Calculator

Given Input numbers are 207, 492, 384, 642

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (207, 492, 384, 642) = 3.

Given numbers are 207, 492, 384, 642

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 207, 492, 384, 642 is 3.

Given numbers are 207, 492, 384, 642

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

Apply this formula for all numbers.

Step1:

LCM(207, 492) = 33948

GCD(207, 492) = ( 207 x 492 ) / 33948

= 207 / 492

= 207

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

So, Greatest Common Divisor of 207, 492, 384, 642 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 908, 105, 623
• GCD of 975, 827, 365, 503
• GCD of 868, 863, 584, 804
• GCD of 808, 291, 688, 769
• GCD of 382, 504, 436, 701

Given numbers are 207, 492, 384, 642
The greatest common divisor of numbers 207, 492, 384, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 492, 384, 642 is 3.

1. What is the GCD of 207, 492, 384, 642?

GCD of given numbers 207, 492, 384, 642 is 3

2. How to calculate the greatest common divisor of 207, 492, 384, 642?

We can find the highest common divisor of 207, 492, 384, 642 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 207, 492, 384, 642 i.e 3.

3. How can I use the GCD of 207, 492, 384, 642Calculator?

Out the numbers 207, 492, 384, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.