GCD of 356, 722, 218 Calculator

Given Input numbers are 356, 722, 218

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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 (356, 722, 218) = 2.

Given numbers are 356, 722, 218

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 722 are 2 x 19 x 19

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 356, 722, 218 is 2.

Given numbers are 356, 722, 218

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

Apply this formula for all numbers.

Step1:

LCM(356, 722) = 128516

GCD(356, 722) = ( 356 x 722 ) / 128516

= 356 / 722

= 356

Step2:

LCM(2, 218) = 218

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

= 2 / 218

= 2

So, Greatest Common Divisor of 356, 722, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 131, 961
• GCD of 520, 150, 257
• GCD of 961, 440, 489
• GCD of 844, 818, 741
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Given numbers are 356, 722, 218
The greatest common divisor of numbers 356, 722, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 722, 218 is 2.

1. What is the GCD of 356, 722, 218?

GCD of given numbers 356, 722, 218 is 2

2. How to calculate the greatest common divisor of 356, 722, 218?

We can find the highest common divisor of 356, 722, 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 356, 722, 218 i.e 2.

3. How can I use the GCD of 356, 722, 218Calculator?

Out the numbers 356, 722, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.