GCD of 398, 474, 278, 438 Calculator

Given Input numbers are 398, 474, 278, 438

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (398, 474, 278, 438) = 2.

Given numbers are 398, 474, 278, 438

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 474 are 2 x 3 x 79

Prime factors of 278 are 2 x 139

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 398, 474, 278, 438 is 2.

Given numbers are 398, 474, 278, 438

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

Apply this formula for all numbers.

Step1:

LCM(398, 474) = 94326

GCD(398, 474) = ( 398 x 474 ) / 94326

= 398 / 474

= 398

Step2:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 398, 474, 278, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 757, 349, 209
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• GCD of 654, 394, 272, 308
• GCD of 536, 281, 131, 582
• GCD of 523, 997, 183, 893

Given numbers are 398, 474, 278, 438
The greatest common divisor of numbers 398, 474, 278, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 474, 278, 438 is 2.

1. What is the GCD of 398, 474, 278, 438?

GCD of given numbers 398, 474, 278, 438 is 2

2. How to calculate the greatest common divisor of 398, 474, 278, 438?

We can find the highest common divisor of 398, 474, 278, 438 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 398, 474, 278, 438 i.e 2.

3. How can I use the GCD of 398, 474, 278, 438Calculator?

Out the numbers 398, 474, 278, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.