GCD of 318, 628, 920, 898 Calculator

Given Input numbers are 318, 628, 920, 898

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (318, 628, 920, 898) = 2.

Given numbers are 318, 628, 920, 898

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 628 are 2 x 2 x 157

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 318, 628, 920, 898 is 2.

Given numbers are 318, 628, 920, 898

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

Apply this formula for all numbers.

Step1:

LCM(318, 628) = 99852

GCD(318, 628) = ( 318 x 628 ) / 99852

= 318 / 628

= 318

Step2:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 318, 628, 920, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 526, 867, 555
• GCD of 362, 683, 690, 142
• GCD of 554, 337, 361, 330
• GCD of 412, 988, 553, 797
• GCD of 351, 130, 643, 432

Given numbers are 318, 628, 920, 898
The greatest common divisor of numbers 318, 628, 920, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 628, 920, 898 is 2.

1. What is the GCD of 318, 628, 920, 898?

GCD of given numbers 318, 628, 920, 898 is 2

2. How to calculate the greatest common divisor of 318, 628, 920, 898?

We can find the highest common divisor of 318, 628, 920, 898 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 318, 628, 920, 898 i.e 2.

3. How can I use the GCD of 318, 628, 920, 898Calculator?

Out the numbers 318, 628, 920, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.