GCD of 768, 298, 388, 138 Calculator

Given Input numbers are 768, 298, 388, 138

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (768, 298, 388, 138) = 2.

Given numbers are 768, 298, 388, 138

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 298 are 2 x 149

Prime factors of 388 are 2 x 2 x 97

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 768, 298, 388, 138 is 2.

Given numbers are 768, 298, 388, 138

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

Apply this formula for all numbers.

Step1:

LCM(768, 298) = 114432

GCD(768, 298) = ( 768 x 298 ) / 114432

= 768 / 298

= 768

Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 768, 298, 388, 138 is 2

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• GCD of 209, 506, 198, 291
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Given numbers are 768, 298, 388, 138
The greatest common divisor of numbers 768, 298, 388, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 298, 388, 138 is 2.

1. What is the GCD of 768, 298, 388, 138?

GCD of given numbers 768, 298, 388, 138 is 2

2. How to calculate the greatest common divisor of 768, 298, 388, 138?

We can find the highest common divisor of 768, 298, 388, 138 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, 298, 388, 138 i.e 2.

3. How can I use the GCD of 768, 298, 388, 138Calculator?

Out the numbers 768, 298, 388, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.