GCD of 288, 682, 674, 894 Calculator

Given Input numbers are 288, 682, 674, 894

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (288, 682, 674, 894) = 2.

Given numbers are 288, 682, 674, 894

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 682 are 2 x 11 x 31

Prime factors of 674 are 2 x 337

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 2¹

Therefore, GCD of 288, 682, 674, 894 is 2.

Given numbers are 288, 682, 674, 894

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

Apply this formula for all numbers.

Step1:

LCM(288, 682) = 98208

GCD(288, 682) = ( 288 x 682 ) / 98208

= 288 / 682

= 288

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

So, Greatest Common Divisor of 288, 682, 674, 894 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 591, 793, 510
• GCD of 816, 804, 221, 818
• GCD of 485, 456, 827, 386
• GCD of 426, 989, 787, 135
• GCD of 813, 569, 186, 114

Given numbers are 288, 682, 674, 894
The greatest common divisor of numbers 288, 682, 674, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 682, 674, 894 is 2.

1. What is the GCD of 288, 682, 674, 894?

GCD of given numbers 288, 682, 674, 894 is 2

2. How to calculate the greatest common divisor of 288, 682, 674, 894?

We can find the highest common divisor of 288, 682, 674, 894 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, 682, 674, 894 i.e 2.

3. How can I use the GCD of 288, 682, 674, 894Calculator?

Out the numbers 288, 682, 674, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.