GCD of 522, 350, 338, 196 Calculator

Given Input numbers are 522, 350, 338, 196

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

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (522, 350, 338, 196) = 2.

Given numbers are 522, 350, 338, 196

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 338 are 2 x 13 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 522, 350, 338, 196 is 2.

Given numbers are 522, 350, 338, 196

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

Apply this formula for all numbers.

Step1:

LCM(522, 350) = 91350

GCD(522, 350) = ( 522 x 350 ) / 91350

= 522 / 350

= 522

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 522, 350, 338, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 260, 415, 213
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• GCD of 737, 527, 884, 105
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• GCD of 305, 560, 909, 722

Given numbers are 522, 350, 338, 196
The greatest common divisor of numbers 522, 350, 338, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 350, 338, 196 is 2.

1. What is the GCD of 522, 350, 338, 196?

GCD of given numbers 522, 350, 338, 196 is 2

2. How to calculate the greatest common divisor of 522, 350, 338, 196?

We can find the highest common divisor of 522, 350, 338, 196 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 522, 350, 338, 196 i.e 2.

3. How can I use the GCD of 522, 350, 338, 196Calculator?

Out the numbers 522, 350, 338, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.