GCD of 336, 514, 114, 136 Calculator

Given Input numbers are 336, 514, 114, 136

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 136 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (336, 514, 114, 136) = 2.

Given numbers are 336, 514, 114, 136

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 514 are 2 x 257

Prime factors of 114 are 2 x 3 x 19

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 336, 514, 114, 136 is 2.

Given numbers are 336, 514, 114, 136

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

Apply this formula for all numbers.

Step1:

LCM(336, 514) = 86352

GCD(336, 514) = ( 336 x 514 ) / 86352

= 336 / 514

= 336

Step2:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

So, Greatest Common Divisor of 336, 514, 114, 136 is 2

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Given numbers are 336, 514, 114, 136
The greatest common divisor of numbers 336, 514, 114, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 514, 114, 136 is 2.

1. What is the GCD of 336, 514, 114, 136?

GCD of given numbers 336, 514, 114, 136 is 2

2. How to calculate the greatest common divisor of 336, 514, 114, 136?

We can find the highest common divisor of 336, 514, 114, 136 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, 514, 114, 136 i.e 2.

3. How can I use the GCD of 336, 514, 114, 136Calculator?

Out the numbers 336, 514, 114, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.