GCD of 398, 872, 112, 672 Calculator

Given Input numbers are 398, 872, 112, 672

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (398, 872, 112, 672) = 2.

Given numbers are 398, 872, 112, 672

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 398, 872, 112, 672 is 2.

Given numbers are 398, 872, 112, 672

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

Apply this formula for all numbers.

Step1:

LCM(398, 872) = 173528

GCD(398, 872) = ( 398 x 872 ) / 173528

= 398 / 872

= 398

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 398, 872, 112, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 488, 572, 940
• GCD of 527, 974, 985, 265
• GCD of 320, 315, 785, 480
• GCD of 595, 642, 531, 803
• GCD of 649, 695, 529, 331

Given numbers are 398, 872, 112, 672
The greatest common divisor of numbers 398, 872, 112, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 872, 112, 672 is 2.

1. What is the GCD of 398, 872, 112, 672?

GCD of given numbers 398, 872, 112, 672 is 2

2. How to calculate the greatest common divisor of 398, 872, 112, 672?

We can find the highest common divisor of 398, 872, 112, 672 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, 872, 112, 672 i.e 2.

3. How can I use the GCD of 398, 872, 112, 672Calculator?

Out the numbers 398, 872, 112, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.