GCD of 462, 698, 732, 218 Calculator

Given Input numbers are 462, 698, 732, 218

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 (462, 698, 732, 218) = 2.

Given numbers are 462, 698, 732, 218

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 698 are 2 x 349

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 462, 698, 732, 218 is 2.

Given numbers are 462, 698, 732, 218

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

Apply this formula for all numbers.

Step1:

LCM(462, 698) = 161238

GCD(462, 698) = ( 462 x 698 ) / 161238

= 462 / 698

= 462

Step2:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

Step3:

LCM(2, 218) = 218

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

= 2 / 218

= 2

So, Greatest Common Divisor of 462, 698, 732, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 431, 900, 882
• GCD of 243, 719, 974, 980
• GCD of 240, 489, 881, 545
• GCD of 245, 254, 728, 350
• GCD of 265, 581, 581, 750

Given numbers are 462, 698, 732, 218
The greatest common divisor of numbers 462, 698, 732, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 698, 732, 218 is 2.

1. What is the GCD of 462, 698, 732, 218?

GCD of given numbers 462, 698, 732, 218 is 2

2. How to calculate the greatest common divisor of 462, 698, 732, 218?

We can find the highest common divisor of 462, 698, 732, 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 462, 698, 732, 218 i.e 2.

3. How can I use the GCD of 462, 698, 732, 218Calculator?

Out the numbers 462, 698, 732, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.