GCD of 288, 958, 988, 814 Calculator

Given Input numbers are 288, 958, 988, 814

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (288, 958, 988, 814) = 2.

Given numbers are 288, 958, 988, 814

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 958 are 2 x 479

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 288, 958, 988, 814 is 2.

Given numbers are 288, 958, 988, 814

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

Apply this formula for all numbers.

Step1:

LCM(288, 958) = 137952

GCD(288, 958) = ( 288 x 958 ) / 137952

= 288 / 958

= 288

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 288, 958, 988, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 601, 310, 424
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• GCD of 972, 695, 267, 605

Given numbers are 288, 958, 988, 814
The greatest common divisor of numbers 288, 958, 988, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 958, 988, 814 is 2.

1. What is the GCD of 288, 958, 988, 814?

GCD of given numbers 288, 958, 988, 814 is 2

2. How to calculate the greatest common divisor of 288, 958, 988, 814?

We can find the highest common divisor of 288, 958, 988, 814 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 288, 958, 988, 814 i.e 2.

3. How can I use the GCD of 288, 958, 988, 814Calculator?

Out the numbers 288, 958, 988, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.