GCD of 598, 838, 444, 112 Calculator

Given Input numbers are 598, 838, 444, 112

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (598, 838, 444, 112) = 2.

Given numbers are 598, 838, 444, 112

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 838 are 2 x 419

Prime factors of 444 are 2 x 2 x 3 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 598, 838, 444, 112 is 2.

Given numbers are 598, 838, 444, 112

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

Apply this formula for all numbers.

Step1:

LCM(598, 838) = 250562

GCD(598, 838) = ( 598 x 838 ) / 250562

= 598 / 838

= 598

Step2:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

Step3:

LCM(2, 112) = 112

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

= 2 / 112

= 2

So, Greatest Common Divisor of 598, 838, 444, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 117, 398, 794
• GCD of 446, 516, 669, 979
• GCD of 543, 751, 183, 802
• GCD of 973, 596, 385, 609
• GCD of 444, 595, 586, 971

Given numbers are 598, 838, 444, 112
The greatest common divisor of numbers 598, 838, 444, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 838, 444, 112 is 2.

1. What is the GCD of 598, 838, 444, 112?

GCD of given numbers 598, 838, 444, 112 is 2

2. How to calculate the greatest common divisor of 598, 838, 444, 112?

We can find the highest common divisor of 598, 838, 444, 112 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 598, 838, 444, 112 i.e 2.

3. How can I use the GCD of 598, 838, 444, 112Calculator?

Out the numbers 598, 838, 444, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.