GCD of 336, 144, 639, 105 Calculator

Given Input numbers are 336, 144, 639, 105

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (336, 144, 639, 105) = 3.

Given numbers are 336, 144, 639, 105

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 639 are 3 x 3 x 71

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 336, 144, 639, 105 is 3.

Given numbers are 336, 144, 639, 105

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

Apply this formula for all numbers.

Step1:

LCM(336, 144) = 1008

GCD(336, 144) = ( 336 x 144 ) / 1008

= 336 / 144

= 336

Step2:

LCM(48, 639) = 10224

GCD(48, 639) = ( 48 x 639 ) / 10224

= 48 / 639

= 48

Step3:

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

= 3 / 105

= 3

So, Greatest Common Divisor of 336, 144, 639, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 508, 364, 490
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• GCD of 877, 443, 998, 564
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• GCD of 389, 557, 560, 977

Given numbers are 336, 144, 639, 105
The greatest common divisor of numbers 336, 144, 639, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 144, 639, 105 is 3.

1. What is the GCD of 336, 144, 639, 105?

GCD of given numbers 336, 144, 639, 105 is 3

2. How to calculate the greatest common divisor of 336, 144, 639, 105?

We can find the highest common divisor of 336, 144, 639, 105 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 336, 144, 639, 105 i.e 3.

3. How can I use the GCD of 336, 144, 639, 105Calculator?

Out the numbers 336, 144, 639, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.