GCD of 207, 129, 642 Calculator

Given Input numbers are 207, 129, 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 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

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, 129, 642) = 3.

Given numbers are 207, 129, 642

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 129 are 3 x 43

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 207, 129, 642 is 3.

Given numbers are 207, 129, 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, 129) = 8901

GCD(207, 129) = ( 207 x 129 ) / 8901

= 207 / 129

= 207

Step2:

LCM(3, 642) = 642

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

= 3 / 642

= 3

So, Greatest Common Divisor of 207, 129, 642 is 3

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Given numbers are 207, 129, 642
The greatest common divisor of numbers 207, 129, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 129, 642 is 3.

1. What is the GCD of 207, 129, 642?

GCD of given numbers 207, 129, 642 is 3

2. How to calculate the greatest common divisor of 207, 129, 642?

We can find the highest common divisor of 207, 129, 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, 129, 642 i.e 3.

3. How can I use the GCD of 207, 129, 642Calculator?

Out the numbers 207, 129, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.