GCD of 364, 200, 726, 510 Calculator

Given Input numbers are 364, 200, 726, 510

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (364, 200, 726, 510) = 2.

Given numbers are 364, 200, 726, 510

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 364, 200, 726, 510 is 2.

Given numbers are 364, 200, 726, 510

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

Apply this formula for all numbers.

Step1:

LCM(364, 200) = 18200

GCD(364, 200) = ( 364 x 200 ) / 18200

= 364 / 200

= 364

Step2:

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

= 4 / 726

= 4

Step3:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

So, Greatest Common Divisor of 364, 200, 726, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 968, 602, 639
• GCD of 651, 395, 973, 516
• GCD of 830, 873, 566, 837
• GCD of 384, 288, 649, 470
• GCD of 757, 971, 461, 472

Given numbers are 364, 200, 726, 510
The greatest common divisor of numbers 364, 200, 726, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 200, 726, 510 is 2.

1. What is the GCD of 364, 200, 726, 510?

GCD of given numbers 364, 200, 726, 510 is 2

2. How to calculate the greatest common divisor of 364, 200, 726, 510?

We can find the highest common divisor of 364, 200, 726, 510 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 364, 200, 726, 510 i.e 2.

3. How can I use the GCD of 364, 200, 726, 510Calculator?

Out the numbers 364, 200, 726, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.