GCD of 768, 310, 122, 238 Calculator

Given Input numbers are 768, 310, 122, 238

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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 (768, 310, 122, 238) = 2.

Given numbers are 768, 310, 122, 238

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 310 are 2 x 5 x 31

Prime factors of 122 are 2 x 61

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 768, 310, 122, 238 is 2.

Given numbers are 768, 310, 122, 238

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

Apply this formula for all numbers.

Step1:

LCM(768, 310) = 119040

GCD(768, 310) = ( 768 x 310 ) / 119040

= 768 / 310

= 768

Step2:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 768, 310, 122, 238 is 2

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Given numbers are 768, 310, 122, 238
The greatest common divisor of numbers 768, 310, 122, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 310, 122, 238 is 2.

1. What is the GCD of 768, 310, 122, 238?

GCD of given numbers 768, 310, 122, 238 is 2

2. How to calculate the greatest common divisor of 768, 310, 122, 238?

We can find the highest common divisor of 768, 310, 122, 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 768, 310, 122, 238 i.e 2.

3. How can I use the GCD of 768, 310, 122, 238Calculator?

Out the numbers 768, 310, 122, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.