GCD of 268, 562, 992, 324 Calculator

Given Input numbers are 268, 562, 992, 324

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 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (268, 562, 992, 324) = 2.

Given numbers are 268, 562, 992, 324

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 562 are 2 x 281

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 268, 562, 992, 324 is 2.

Given numbers are 268, 562, 992, 324

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

Apply this formula for all numbers.

Step1:

LCM(268, 562) = 75308

GCD(268, 562) = ( 268 x 562 ) / 75308

= 268 / 562

= 268

Step2:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 268, 562, 992, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 256, 521, 958
• GCD of 428, 439, 593, 349
• GCD of 784, 897, 498, 923
• GCD of 690, 759, 751, 456
• GCD of 221, 571, 409, 819

Given numbers are 268, 562, 992, 324
The greatest common divisor of numbers 268, 562, 992, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 562, 992, 324 is 2.

1. What is the GCD of 268, 562, 992, 324?

GCD of given numbers 268, 562, 992, 324 is 2

2. How to calculate the greatest common divisor of 268, 562, 992, 324?

We can find the highest common divisor of 268, 562, 992, 324 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, 562, 992, 324 i.e 2.

3. How can I use the GCD of 268, 562, 992, 324Calculator?

Out the numbers 268, 562, 992, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.