GCD of 522, 398, 498, 378 Calculator

Given Input numbers are 522, 398, 498, 378

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (522, 398, 498, 378) = 2.

Given numbers are 522, 398, 498, 378

The list of prime factors of all numbers are

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

Prime factors of 398 are 2 x 199

Prime factors of 498 are 2 x 3 x 83

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 522, 398, 498, 378 is 2.

Given numbers are 522, 398, 498, 378

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

Apply this formula for all numbers.

Step1:

LCM(522, 398) = 103878

GCD(522, 398) = ( 522 x 398 ) / 103878

= 522 / 398

= 522

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 522, 398, 498, 378 is 2

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• GCD of 570, 851, 914, 614
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Given numbers are 522, 398, 498, 378
The greatest common divisor of numbers 522, 398, 498, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 398, 498, 378 is 2.

1. What is the GCD of 522, 398, 498, 378?

GCD of given numbers 522, 398, 498, 378 is 2

2. How to calculate the greatest common divisor of 522, 398, 498, 378?

We can find the highest common divisor of 522, 398, 498, 378 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, 398, 498, 378 i.e 2.

3. How can I use the GCD of 522, 398, 498, 378Calculator?

Out the numbers 522, 398, 498, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.