GCD of 448, 396, 398, 954 Calculator

Given Input numbers are 448, 396, 398, 954

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (448, 396, 398, 954) = 2.

Given numbers are 448, 396, 398, 954

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 398 are 2 x 199

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 448, 396, 398, 954 is 2.

Given numbers are 448, 396, 398, 954

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

Apply this formula for all numbers.

Step1:

LCM(448, 396) = 44352

GCD(448, 396) = ( 448 x 396 ) / 44352

= 448 / 396

= 448

Step2:

LCM(4, 398) = 796

GCD(4, 398) = ( 4 x 398 ) / 796

= 4 / 398

= 4

Step3:

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

= 2 / 954

= 2

So, Greatest Common Divisor of 448, 396, 398, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 700, 389, 536
• GCD of 983, 987, 548, 306
• GCD of 928, 213, 250, 903
• GCD of 533, 349, 683, 650
• GCD of 155, 855, 454, 477

Given numbers are 448, 396, 398, 954
The greatest common divisor of numbers 448, 396, 398, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 396, 398, 954 is 2.

1. What is the GCD of 448, 396, 398, 954?

GCD of given numbers 448, 396, 398, 954 is 2

2. How to calculate the greatest common divisor of 448, 396, 398, 954?

We can find the highest common divisor of 448, 396, 398, 954 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 448, 396, 398, 954 i.e 2.

3. How can I use the GCD of 448, 396, 398, 954Calculator?

Out the numbers 448, 396, 398, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.