GCD of 506, 542, 602, 268 Calculator

Given Input numbers are 506, 542, 602, 268

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (506, 542, 602, 268) = 2.

Given numbers are 506, 542, 602, 268

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 542 are 2 x 271

Prime factors of 602 are 2 x 7 x 43

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 506, 542, 602, 268 is 2.

Given numbers are 506, 542, 602, 268

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

Apply this formula for all numbers.

Step1:

LCM(506, 542) = 137126

GCD(506, 542) = ( 506 x 542 ) / 137126

= 506 / 542

= 506

Step2:

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

= 2 / 602

= 2

Step3:

LCM(2, 268) = 268

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

= 2 / 268

= 2

So, Greatest Common Divisor of 506, 542, 602, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 331, 270, 365
• GCD of 758, 579, 864, 916
• GCD of 487, 513, 179, 814
• GCD of 333, 372, 825, 512
• GCD of 273, 237, 994, 249

Given numbers are 506, 542, 602, 268
The greatest common divisor of numbers 506, 542, 602, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 542, 602, 268 is 2.

1. What is the GCD of 506, 542, 602, 268?

GCD of given numbers 506, 542, 602, 268 is 2

2. How to calculate the greatest common divisor of 506, 542, 602, 268?

We can find the highest common divisor of 506, 542, 602, 268 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 506, 542, 602, 268 i.e 2.

3. How can I use the GCD of 506, 542, 602, 268Calculator?

Out the numbers 506, 542, 602, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.