GCD of 496, 538, 268, 348 Calculator

Given Input numbers are 496, 538, 268, 348

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (496, 538, 268, 348) = 2.

Given numbers are 496, 538, 268, 348

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 538 are 2 x 269

Prime factors of 268 are 2 x 2 x 67

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 496, 538, 268, 348 is 2.

Given numbers are 496, 538, 268, 348

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

Apply this formula for all numbers.

Step1:

LCM(496, 538) = 133424

GCD(496, 538) = ( 496 x 538 ) / 133424

= 496 / 538

= 496

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 496, 538, 268, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 588, 453, 111
• GCD of 984, 889, 948, 296
• GCD of 509, 872, 447, 758
• GCD of 904, 640, 903, 417
• GCD of 732, 758, 438, 611

Given numbers are 496, 538, 268, 348
The greatest common divisor of numbers 496, 538, 268, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 538, 268, 348 is 2.

1. What is the GCD of 496, 538, 268, 348?

GCD of given numbers 496, 538, 268, 348 is 2

2. How to calculate the greatest common divisor of 496, 538, 268, 348?

We can find the highest common divisor of 496, 538, 268, 348 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 496, 538, 268, 348 i.e 2.

3. How can I use the GCD of 496, 538, 268, 348Calculator?

Out the numbers 496, 538, 268, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.