GCD of 272, 518, 498, 613 Calculator

Given Input numbers are 272, 518, 498, 613

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613

GCD of numbers is the greatest common divisor

So, the GCD (272, 518, 498, 613) = 1.

Given numbers are 272, 518, 498, 613

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 518 are 2 x 7 x 37

Prime factors of 498 are 2 x 3 x 83

Prime factors of 613 are 613

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 272, 518, 498, 613

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

Apply this formula for all numbers.

Step1:

LCM(272, 518) = 70448

GCD(272, 518) = ( 272 x 518 ) / 70448

= 272 / 518

= 272

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

= 2 / 613

= 2

So, Greatest Common Divisor of 272, 518, 498, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 281, 522, 211
• GCD of 446, 723, 113, 839
• GCD of 765, 158, 653, 442
• GCD of 346, 317, 599, 383
• GCD of 408, 314, 965, 360

Given numbers are 272, 518, 498, 613
The greatest common divisor of numbers 272, 518, 498, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 518, 498, 613 is 1.

1. What is the GCD of 272, 518, 498, 613?

GCD of given numbers 272, 518, 498, 613 is 1

2. How to calculate the greatest common divisor of 272, 518, 498, 613?

We can find the highest common divisor of 272, 518, 498, 613 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 272, 518, 498, 613 i.e 1.

3. How can I use the GCD of 272, 518, 498, 613Calculator?

Out the numbers 272, 518, 498, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.