GCD of 354, 626, 638, 116 Calculator

Given Input numbers are 354, 626, 638, 116

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 638 :

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

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (354, 626, 638, 116) = 2.

Given numbers are 354, 626, 638, 116

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 626 are 2 x 313

Prime factors of 638 are 2 x 11 x 29

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 354, 626, 638, 116 is 2.

Given numbers are 354, 626, 638, 116

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

Apply this formula for all numbers.

Step1:

LCM(354, 626) = 110802

GCD(354, 626) = ( 354 x 626 ) / 110802

= 354 / 626

= 354

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 354, 626, 638, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 632, 648, 275
• GCD of 586, 635, 564, 599
• GCD of 430, 352, 637, 820
• GCD of 130, 535, 631, 189
• GCD of 305, 218, 418, 901

Given numbers are 354, 626, 638, 116
The greatest common divisor of numbers 354, 626, 638, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 626, 638, 116 is 2.

1. What is the GCD of 354, 626, 638, 116?

GCD of given numbers 354, 626, 638, 116 is 2

2. How to calculate the greatest common divisor of 354, 626, 638, 116?

We can find the highest common divisor of 354, 626, 638, 116 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 354, 626, 638, 116 i.e 2.

3. How can I use the GCD of 354, 626, 638, 116Calculator?

Out the numbers 354, 626, 638, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.