GCD of 220, 318, 724, 218 Calculator

Given Input numbers are 220, 318, 724, 218

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (220, 318, 724, 218) = 2.

Given numbers are 220, 318, 724, 218

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 318 are 2 x 3 x 53

Prime factors of 724 are 2 x 2 x 181

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 220, 318, 724, 218 is 2.

Given numbers are 220, 318, 724, 218

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

Apply this formula for all numbers.

Step1:

LCM(220, 318) = 34980

GCD(220, 318) = ( 220 x 318 ) / 34980

= 220 / 318

= 220

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 220, 318, 724, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 968, 457, 427
• GCD of 890, 113, 940, 741
• GCD of 227, 237, 565, 203
• GCD of 360, 235, 756, 113
• GCD of 525, 587, 965, 787

Given numbers are 220, 318, 724, 218
The greatest common divisor of numbers 220, 318, 724, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 318, 724, 218 is 2.

1. What is the GCD of 220, 318, 724, 218?

GCD of given numbers 220, 318, 724, 218 is 2

2. How to calculate the greatest common divisor of 220, 318, 724, 218?

We can find the highest common divisor of 220, 318, 724, 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 220, 318, 724, 218 i.e 2.

3. How can I use the GCD of 220, 318, 724, 218Calculator?

Out the numbers 220, 318, 724, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.