GCD of 396, 628, 896, 148 Calculator

Given Input numbers are 396, 628, 896, 148

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

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (396, 628, 896, 148) = 4.

Given numbers are 396, 628, 896, 148

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 396, 628, 896, 148 is 4.

Given numbers are 396, 628, 896, 148

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

Apply this formula for all numbers.

Step1:

LCM(396, 628) = 62172

GCD(396, 628) = ( 396 x 628 ) / 62172

= 396 / 628

= 396

Step2:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4

Step3:

LCM(4, 148) = 148

GCD(4, 148) = ( 4 x 148 ) / 148

= 4 / 148

= 4

So, Greatest Common Divisor of 396, 628, 896, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 786, 564, 292
• GCD of 875, 935, 912, 640
• GCD of 553, 460, 593, 738
• GCD of 181, 629, 978, 344
• GCD of 469, 584, 426, 236

Given numbers are 396, 628, 896, 148
The greatest common divisor of numbers 396, 628, 896, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 628, 896, 148 is 4.

1. What is the GCD of 396, 628, 896, 148?

GCD of given numbers 396, 628, 896, 148 is 4

2. How to calculate the greatest common divisor of 396, 628, 896, 148?

We can find the highest common divisor of 396, 628, 896, 148 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 396, 628, 896, 148 i.e 4.

3. How can I use the GCD of 396, 628, 896, 148Calculator?

Out the numbers 396, 628, 896, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.