GCD of 298, 736, 388, 916 Calculator

Given Input numbers are 298, 736, 388, 916

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

Divisors of 298 :

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

1, 2, 149, 298

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 388 :

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

1, 2, 4, 97, 194, 388

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (298, 736, 388, 916) = 2.

Given numbers are 298, 736, 388, 916

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 388 are 2 x 2 x 97

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 298, 736, 388, 916 is 2.

Given numbers are 298, 736, 388, 916

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

Apply this formula for all numbers.

Step1:

LCM(298, 736) = 109664

GCD(298, 736) = ( 298 x 736 ) / 109664

= 298 / 736

= 298

Step2:

LCM(2, 388) = 388

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

= 2 / 388

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 298, 736, 388, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 481, 815, 180
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Given numbers are 298, 736, 388, 916
The greatest common divisor of numbers 298, 736, 388, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 736, 388, 916 is 2.

1. What is the GCD of 298, 736, 388, 916?

GCD of given numbers 298, 736, 388, 916 is 2

2. How to calculate the greatest common divisor of 298, 736, 388, 916?

We can find the highest common divisor of 298, 736, 388, 916 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 298, 736, 388, 916 i.e 2.

3. How can I use the GCD of 298, 736, 388, 916Calculator?

Out the numbers 298, 736, 388, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.