GCD of 336, 136, 450, 872 Calculator

Given Input numbers are 336, 136, 450, 872

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (336, 136, 450, 872) = 2.

Given numbers are 336, 136, 450, 872

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 136 are 2 x 2 x 2 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 336, 136, 450, 872 is 2.

Given numbers are 336, 136, 450, 872

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

Apply this formula for all numbers.

Step1:

LCM(336, 136) = 5712

GCD(336, 136) = ( 336 x 136 ) / 5712

= 336 / 136

= 336

Step2:

LCM(8, 450) = 1800

GCD(8, 450) = ( 8 x 450 ) / 1800

= 8 / 450

= 8

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 336, 136, 450, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 854, 969, 566
• GCD of 663, 436, 398, 460
• GCD of 706, 894, 863, 970
• GCD of 585, 392, 857, 540
• GCD of 919, 115, 420, 102

Given numbers are 336, 136, 450, 872
The greatest common divisor of numbers 336, 136, 450, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 136, 450, 872 is 2.

1. What is the GCD of 336, 136, 450, 872?

GCD of given numbers 336, 136, 450, 872 is 2

2. How to calculate the greatest common divisor of 336, 136, 450, 872?

We can find the highest common divisor of 336, 136, 450, 872 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, 136, 450, 872 i.e 2.

3. How can I use the GCD of 336, 136, 450, 872Calculator?

Out the numbers 336, 136, 450, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.