GCD of 312, 104, 196, 238 Calculator

Given Input numbers are 312, 104, 196, 238

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (312, 104, 196, 238) = 2.

Given numbers are 312, 104, 196, 238

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 312, 104, 196, 238 is 2.

Given numbers are 312, 104, 196, 238

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

Apply this formula for all numbers.

Step1:

LCM(312, 104) = 312

GCD(312, 104) = ( 312 x 104 ) / 312

= 312 / 104

= 312

Step2:

LCM(104, 196) = 5096

GCD(104, 196) = ( 104 x 196 ) / 5096

= 104 / 196

= 104

Step3:

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

= 4 / 238

= 4

So, Greatest Common Divisor of 312, 104, 196, 238 is 2

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• GCD of 583, 305, 917, 957
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Given numbers are 312, 104, 196, 238
The greatest common divisor of numbers 312, 104, 196, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 104, 196, 238 is 2.

1. What is the GCD of 312, 104, 196, 238?

GCD of given numbers 312, 104, 196, 238 is 2

2. How to calculate the greatest common divisor of 312, 104, 196, 238?

We can find the highest common divisor of 312, 104, 196, 238 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 312, 104, 196, 238 i.e 2.

3. How can I use the GCD of 312, 104, 196, 238Calculator?

Out the numbers 312, 104, 196, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.