GCD of 352, 814, 638 Calculator

Given Input numbers are 352, 814, 638

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (352, 814, 638) = 22.

Given numbers are 352, 814, 638

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 814 are 2 x 11 x 37

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 11¹ x 2¹

Therefore, GCD of 352, 814, 638 is 22.

Given numbers are 352, 814, 638

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

Apply this formula for all numbers.

Step1:

LCM(352, 814) = 13024

GCD(352, 814) = ( 352 x 814 ) / 13024

= 352 / 814

= 352

Step2:

LCM(22, 638) = 638

GCD(22, 638) = ( 22 x 638 ) / 638

= 22 / 638

= 22

So, Greatest Common Divisor of 352, 814, 638 is 22

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 812, 899
• GCD of 636, 507, 752
• GCD of 839, 381, 906
• GCD of 458, 621, 479
• GCD of 874, 342, 549

Given numbers are 352, 814, 638
The greatest common divisor of numbers 352, 814, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 814, 638 is 22.

1. What is the GCD of 352, 814, 638?

GCD of given numbers 352, 814, 638 is 22

2. How to calculate the greatest common divisor of 352, 814, 638?

We can find the highest common divisor of 352, 814, 638 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 352, 814, 638 i.e 22.

3. How can I use the GCD of 352, 814, 638Calculator?

Out the numbers 352, 814, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.