GCD of 518, 848, 498, 900 Calculator

Given Input numbers are 518, 848, 498, 900

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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 (518, 848, 498, 900) = 2.

Given numbers are 518, 848, 498, 900

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 498 are 2 x 3 x 83

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 518, 848, 498, 900 is 2.

Given numbers are 518, 848, 498, 900

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

Apply this formula for all numbers.

Step1:

LCM(518, 848) = 219632

GCD(518, 848) = ( 518 x 848 ) / 219632

= 518 / 848

= 518

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 900) = 900

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

= 2 / 900

= 2

So, Greatest Common Divisor of 518, 848, 498, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 370, 562, 868
• GCD of 436, 304, 279, 712
• GCD of 520, 750, 647, 234
• GCD of 191, 114, 240, 273
• GCD of 331, 649, 378, 905

Given numbers are 518, 848, 498, 900
The greatest common divisor of numbers 518, 848, 498, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 848, 498, 900 is 2.

1. What is the GCD of 518, 848, 498, 900?

GCD of given numbers 518, 848, 498, 900 is 2

2. How to calculate the greatest common divisor of 518, 848, 498, 900?

We can find the highest common divisor of 518, 848, 498, 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 518, 848, 498, 900 i.e 2.

3. How can I use the GCD of 518, 848, 498, 900Calculator?

Out the numbers 518, 848, 498, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.