GCD of 200, 100, 530, 658 Calculator

Given Input numbers are 200, 100, 530, 658

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (200, 100, 530, 658) = 2.

Given numbers are 200, 100, 530, 658

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 100 are 2 x 2 x 5 x 5

Prime factors of 530 are 2 x 5 x 53

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 200, 100, 530, 658 is 2.

Given numbers are 200, 100, 530, 658

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

Apply this formula for all numbers.

Step1:

LCM(200, 100) = 200

GCD(200, 100) = ( 200 x 100 ) / 200

= 200 / 100

= 200

Step2:

LCM(100, 530) = 5300

GCD(100, 530) = ( 100 x 530 ) / 5300

= 100 / 530

= 100

Step3:

LCM(10, 658) = 3290

GCD(10, 658) = ( 10 x 658 ) / 3290

= 10 / 658

= 10

So, Greatest Common Divisor of 200, 100, 530, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 706, 647, 940
• GCD of 555, 707, 189, 174
• GCD of 466, 352, 190, 369
• GCD of 497, 457, 174, 605
• GCD of 596, 346, 534, 917

Given numbers are 200, 100, 530, 658
The greatest common divisor of numbers 200, 100, 530, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 100, 530, 658 is 2.

1. What is the GCD of 200, 100, 530, 658?

GCD of given numbers 200, 100, 530, 658 is 2

2. How to calculate the greatest common divisor of 200, 100, 530, 658?

We can find the highest common divisor of 200, 100, 530, 658 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, 100, 530, 658 i.e 2.

3. How can I use the GCD of 200, 100, 530, 658Calculator?

Out the numbers 200, 100, 530, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.