GCD of 268, 394, 564, 398 Calculator

Given Input numbers are 268, 394, 564, 398

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (268, 394, 564, 398) = 2.

Given numbers are 268, 394, 564, 398

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 394 are 2 x 197

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 268, 394, 564, 398 is 2.

Given numbers are 268, 394, 564, 398

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

Apply this formula for all numbers.

Step1:

LCM(268, 394) = 52796

GCD(268, 394) = ( 268 x 394 ) / 52796

= 268 / 394

= 268

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 268, 394, 564, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 835, 665, 583
• GCD of 167, 585, 850, 958
• GCD of 520, 245, 255, 506
• GCD of 220, 389, 836, 323
• GCD of 127, 926, 678, 319

Given numbers are 268, 394, 564, 398
The greatest common divisor of numbers 268, 394, 564, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 394, 564, 398 is 2.

1. What is the GCD of 268, 394, 564, 398?

GCD of given numbers 268, 394, 564, 398 is 2

2. How to calculate the greatest common divisor of 268, 394, 564, 398?

We can find the highest common divisor of 268, 394, 564, 398 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 268, 394, 564, 398 i.e 2.

3. How can I use the GCD of 268, 394, 564, 398Calculator?

Out the numbers 268, 394, 564, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.