GCD of 318, 482, 350, 900 Calculator

Given Input numbers are 318, 482, 350, 900

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 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (318, 482, 350, 900) = 2.

Given numbers are 318, 482, 350, 900

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 482 are 2 x 241

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 318, 482, 350, 900 is 2.

Given numbers are 318, 482, 350, 900

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

Apply this formula for all numbers.

Step1:

LCM(318, 482) = 76638

GCD(318, 482) = ( 318 x 482 ) / 76638

= 318 / 482

= 318

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 318, 482, 350, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 607, 249, 648
• GCD of 548, 894, 276, 812
• GCD of 728, 867, 858, 502
• GCD of 922, 790, 162, 281
• GCD of 363, 568, 643, 623

Given numbers are 318, 482, 350, 900
The greatest common divisor of numbers 318, 482, 350, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 482, 350, 900 is 2.

1. What is the GCD of 318, 482, 350, 900?

GCD of given numbers 318, 482, 350, 900 is 2

2. How to calculate the greatest common divisor of 318, 482, 350, 900?

We can find the highest common divisor of 318, 482, 350, 900 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, 482, 350, 900 i.e 2.

3. How can I use the GCD of 318, 482, 350, 900Calculator?

Out the numbers 318, 482, 350, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.