GCD of 493, 550, 74, 218 Calculator

Given Input numbers are 493, 550, 74, 218

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (493, 550, 74, 218) = 1.

Given numbers are 493, 550, 74, 218

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 74 are 2 x 37

Prime factors of 218 are 2 x 109

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

Given numbers are 493, 550, 74, 218

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

Apply this formula for all numbers.

Step1:

LCM(493, 550) = 271150

GCD(493, 550) = ( 493 x 550 ) / 271150

= 493 / 550

= 493

Step2:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 493, 550, 74, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 425, 14, 637
• GCD of 288, 237, 58, 450
• GCD of 390, 721, 76, 216
• GCD of 995, 608, 34, 758
• GCD of 326, 685, 42, 216

Given numbers are 493, 550, 74, 218
The greatest common divisor of numbers 493, 550, 74, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 550, 74, 218 is 1.

1. What is the GCD of 493, 550, 74, 218?

GCD of given numbers 493, 550, 74, 218 is 1

2. How to calculate the greatest common divisor of 493, 550, 74, 218?

We can find the highest common divisor of 493, 550, 74, 218 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 493, 550, 74, 218 i.e 1.

3. How can I use the GCD of 493, 550, 74, 218Calculator?

Out the numbers 493, 550, 74, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.