GCD of 506, 584, 910, 200 Calculator

Given Input numbers are 506, 584, 910, 200

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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

GCD of numbers is the greatest common divisor

So, the GCD (506, 584, 910, 200) = 2.

Given numbers are 506, 584, 910, 200

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 910 are 2 x 5 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 506, 584, 910, 200 is 2.

Given numbers are 506, 584, 910, 200

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

Apply this formula for all numbers.

Step1:

LCM(506, 584) = 147752

GCD(506, 584) = ( 506 x 584 ) / 147752

= 506 / 584

= 506

Step2:

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

= 2 / 910

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 506, 584, 910, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 170, 392, 210
• GCD of 655, 204, 497, 802
• GCD of 286, 832, 130, 585
• GCD of 120, 453, 809, 643
• GCD of 901, 252, 883, 978

Given numbers are 506, 584, 910, 200
The greatest common divisor of numbers 506, 584, 910, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 584, 910, 200 is 2.

1. What is the GCD of 506, 584, 910, 200?

GCD of given numbers 506, 584, 910, 200 is 2

2. How to calculate the greatest common divisor of 506, 584, 910, 200?

We can find the highest common divisor of 506, 584, 910, 200 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 506, 584, 910, 200 i.e 2.

3. How can I use the GCD of 506, 584, 910, 200Calculator?

Out the numbers 506, 584, 910, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.