GCD of 118, 344, 522 Calculator

Given Input numbers are 118, 344, 522

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (118, 344, 522) = 2.

Given numbers are 118, 344, 522

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 118, 344, 522 is 2.

Given numbers are 118, 344, 522

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

Apply this formula for all numbers.

Step1:

LCM(118, 344) = 20296

GCD(118, 344) = ( 118 x 344 ) / 20296

= 118 / 344

= 118

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 118, 344, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 355, 676
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• GCD of 586, 539, 454
• GCD of 657, 675, 992
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Given numbers are 118, 344, 522
The greatest common divisor of numbers 118, 344, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 344, 522 is 2.

1. What is the GCD of 118, 344, 522?

GCD of given numbers 118, 344, 522 is 2

2. How to calculate the greatest common divisor of 118, 344, 522?

We can find the highest common divisor of 118, 344, 522 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 118, 344, 522 i.e 2.

3. How can I use the GCD of 118, 344, 522Calculator?

Out the numbers 118, 344, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.