GCD of 200, 518, 148, 616 Calculator

Given Input numbers are 200, 518, 148, 616

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 518 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (200, 518, 148, 616) = 2.

Given numbers are 200, 518, 148, 616

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 518 are 2 x 7 x 37

Prime factors of 148 are 2 x 2 x 37

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 200, 518, 148, 616 is 2.

Given numbers are 200, 518, 148, 616

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

Apply this formula for all numbers.

Step1:

LCM(200, 518) = 51800

GCD(200, 518) = ( 200 x 518 ) / 51800

= 200 / 518

= 200

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 200, 518, 148, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 547, 652, 291
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Given numbers are 200, 518, 148, 616
The greatest common divisor of numbers 200, 518, 148, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 518, 148, 616 is 2.

1. What is the GCD of 200, 518, 148, 616?

GCD of given numbers 200, 518, 148, 616 is 2

2. How to calculate the greatest common divisor of 200, 518, 148, 616?

We can find the highest common divisor of 200, 518, 148, 616 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 200, 518, 148, 616 i.e 2.

3. How can I use the GCD of 200, 518, 148, 616Calculator?

Out the numbers 200, 518, 148, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.